Lindsay N. Childs

Generating author description...

All published works

Action	Title	Year	Authors
+	Hopf Algebras and Local Galois Module Theory	2023	Lindsay N. Childs David J. Moss
+	On the Galois correspondence ratio for Hopf-Galois extensions arising from nilpotent $\mathbb{F}_p$-algebras	2023	Lindsay N. Childs
+	Skew left braces and the Yang-Baxter equation	2022	Lindsay N. Childs
+ PDF Chat	On the Galois correspondence for Hopf-Galois structures	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert G. Underwood
+	Normality in Hopf-Galois extensions	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert G. Underwood
+ PDF Chat	Hopf Algebras and Galois Module Theory	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert G. Underwood
+	Hopf-Galois module theory	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert G. Underwood
+	Ramification theory for separable extensions of local fields	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert G. Underwood
+	Hopf orders in group rings	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert G. Underwood
+	(Non)-existence results on Hopf-Galois structures	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert G. Underwood
+	Hopf-Galois structures on Galois extensions of fields, regular subgroups, and skew braces	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert G. Underwood
+	Enumeration of Hopf-Galois structures on Galois extenion of degree 𝑚𝑝	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert G. Underwood
+	Hopf-Galois structures arising from fixed point free pairs of homomorphisms	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert A. Underwood
+	Descent theory, and the structure of Hopf algebras acting on separable field extensions	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert G. Underwood
+	Stable and semistable Hopf-Galois extensions	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert G. Underwood
+	Hopf-Galois scaffolds	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert G. Underwood
+	Hopf-Galois actions on purely inseparable extensions	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert G. Underwood
+ PDF Chat	On the Galois correspondence for Hopf Galois structures arising from finite radical algebras and Zappa-Szép products	2020	Lindsay N. Childs
+	Galois Extensions over Local Number Rings	2020	Lindsay N. Childs
+	On the Galois correspondence for Hopf Galois structures arising from finite radical algebras and Zappa-Sz\'ep products	2019	Lindsay N. Childs
+	Cyclic Groups and Cryptography	2019	Lindsay N. Childs
+	Orders and Euler’s Theorem	2019	Lindsay N. Childs
+	Bi-skew braces and Hopf Galois structures	2019	Lindsay N. Childs
+	Homomorphisms and Euler’s Phi Function	2019	Lindsay N. Childs
+	Secure, Reliable Information	2019	Lindsay N. Childs
+	Linear Equations Modulo m	2019	Lindsay N. Childs
+	Factoring by the Quadratic Sieve	2019	Lindsay N. Childs
+	Polynomials and Finite Fields	2019	Lindsay N. Childs
+	Rings and Fields	2019	Lindsay N. Childs
+	On the Galois correspondence for Hopf Galois structures arising from finite radical algebras and Zappa-Szép products	2019	Lindsay N. Childs
+	Skew braces and the Galois correspondence for Hopf Galois structures	2018	Lindsay N. Childs
+ PDF Chat	Bounds on the number of ideals in finite commutative nilpotent $\mathbb{F}_p$-algebras	2018	Lindsay N. Childs Cornélius Greither
+	Left skew braces and the Galois correspondence for Hopf Galois structures	2018	Lindsay N. Childs
+ PDF Chat	Scaffolds and generalized integral Galois module structure	2018	Nigel P. Byott Lindsay N. Childs Greg J. Elder
+	Skew braces and the Galois correspondence for Hopf Galois structures	2018	Lindsay N. Childs
+	Bounds on the number of ideals in finite commutative nilpotent $\mathbb{F}_p$-algebras	2017	Lindsay N. Childs Cornélius Greither
+	Bounds on the number of ideals in finite commutative nilpotent $\mathbb{F}_p$-algebras	2017	Lindsay N. Childs Cornélius Greither
+	Obtaining abelian Hopf Galois structures from finite commutative nilpotent rings	2016	Lindsay N. Childs
+	Abelian Hopf Galois structures from almost trivial commutative nilpotent algebras	2016	Lindsay N. Childs
+	On the Galois correspondence for Hopf Galois structures	2016	Lindsay N. Childs
+	Abelian Hopf Galois structures from almost trivial commutative nilpotent algebras	2016	Lindsay N. Childs
+	Scaffolds and Generalized Integral Galois Module Structure	2013	Nigel P. Byott Lindsay N. Childs G. Griffith Elder
+	Scaffolds and Generalized Integral Galois Module Structure	2013	Nigel P. Byott Lindsay N. Childs G. Griffith Elder
+	Fixed-point free endomorphisms and Hopf Galois structures	2012	Lindsay N. Childs
+	Fixed point free automorphisms of groups related to finite fields	2012	Lindsay N. Childs
+ PDF Chat	Abelian Hopf Galois structures on prime-power Galois field extensions	2012	S. C. Featherstonhaugh A. Caranti Lindsay N. Childs
+	Fixed-point free pairs of homomorphisms and nonabelian Hopf-Galois structure	2012	Nigel P. Byott Lindsay N. Childs
+	Hopf Galois structures on Kummer extensions of prime power degree	2011	Lindsay N. Childs
+	A concrete introduction to higher algebra / Lindsay N. Childs	2009	Lindsay N. Childs
+ PDF Chat	A Concrete Introduction to Higher Algebra	2008	Lindsay N. Childs
+	Applications of Euler's Theorem	2008	Lindsay N. Childs
+	Congruence Classes	2008	Lindsay N. Childs
+ PDF Chat	Some Hopf Galois structures arising from elementary abelian $p$-groups	2007	Lindsay N. Childs
+	Cayley's Theorem and Hopf Galois structures for semidirect products of cyclic groups	2006	Lindsay N. Childs Jesse Corradino
+	Dual Hopf orders in group rings of elementary abelian p-groups	2005	Lindsay N. Childs Harold H. Smith
+	Duality for Hopf orders	2005	Robert G. Underwood Lindsay N. Childs
+	Elementary abelian Hopf Galois structures and polynomial formal groups	2004	Lindsay N. Childs
+	Duals of formal group Hopf orders in cyclic groups	2004	Lindsay N. Childs Robert G. Underwood
+	Cyclic Hopf orders defined by isogenies of formal groups	2003	Lindsay N. Childs Robert G. Underwood
+	On Hopf Galois structures and complete groups	2003	Lindsay N. Childs
+	Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory	2000	Lindsay N. Childs
+	Hopf algebras of rank 𝑝	2000	Lindsay N. Childs
+	Principal homogeneous spaces and formal groups	2000	Lindsay N. Childs
+	Tame extensions and Noether’s Theorem	2000	Lindsay N. Childs
+	Cyclic Hopf Galois extensions of degree 𝑝²	2000	Lindsay N. Childs
+	Hopf algebras and Galois extensions	2000	Lindsay N. Childs
+	Hopf Galois structures on separable field extensions	2000	Lindsay N. Childs
+	Formal groups	2000	Lindsay N. Childs
+	Hopf algebras of rank 𝑝²	2000	Lindsay N. Childs
+	Counting Hopf Galois Structures on Non-Abelian Galois Field Extensions	1999	Scott Carnahan Lindsay N. Childs
+ PDF Chat	Hopf algebras, polynomial formal groups, and Raynaud orders	1998	Lindsay N. Childs Cornélius Greither David J. Moss Jim Sauerberg Karl Heinz Zimmermann
+	Hopf Galois Structures on Degree p 2 Cyclic Extensions of Local Fields	1996	Lindsay N. Childs
+	The Binomial Theorem in Characteristic p	1995	Lindsay N. Childs
+	The Fundamental Theorem of Algebra	1995	Lindsay N. Childs
+	Roots of Unity in ℤ/mℤ	1995	Lindsay N. Childs
+	Euclid’s Algorithm	1995	Lindsay N. Childs
+	Fermat’s and Euler’s Theorems	1995	Lindsay N. Childs
+	Applications of Fermat’s and Euler’s Theorems	1995	Lindsay N. Childs
+	Factoring in Fp[x] and in ℤ[x]	1995	Lindsay N. Childs
+	Rings and Fields	1995	Lindsay N. Childs
+	Pseudoprimes	1995	Lindsay N. Childs
+	Numbers	1995	Lindsay N. Childs
+ PDF Chat	A Concrete Introduction to Higher Algebra	1995	Lindsay N. Childs
+	Classifying Finite Fields	1995	Lindsay N. Childs
+	Congruence-Torsion Subgroups on Dimension One Formal Groups	1994	Lindsay N. Childs K.-H. Zimmermann
+ PDF Chat	Azumaya algebras which are not smash products	1990	Lindsay N. Childs
+	On the hopf galois theory for separable field extensions	1989	Lindsay N. Childs
+	On Hopf Galois extensions of fields and number rings	1988	Lindsay N. Childs
+ PDF Chat	Representing classes in the Brauer group of quadratic number rings as smash products	1987	Lindsay N. Childs
+ PDF Chat	Non-Isomorphic Equivalent Azumaya Algebras	1987	Lindsay N. Childs
+ PDF Chat	Taming wild extensions with Hopf algebras	1987	Lindsay N. Childs
+ PDF Chat	Tameness and Local Normal Bases for Objects of Finite Hopf Algebras	1986	Lindsay N. Childs Susan Hurley
+	Products of Galois objects and the Picard invariant map	1986	Lindsay N. Childs
+ PDF Chat	Tameness and local normal bases for objects of finite Hopf algebras	1986	Lindsay N. Childs Susan Hurley
+	Mathematics: People, Problems, Results (Vols. 1, 2, and 3).	1985	Lindsay N. Childs Douglas M. Campbell John C. Higgins
+ PDF Chat	Tame Kummer extensions and Stickelberger conditions	1984	Lindsay N. Childs
+ PDF Chat	Cyclic Stickelberger Cohomology and Descent of Kummer Extensions	1984	Lindsay N. Childs
+ PDF Chat	Cyclic Stickelberger cohomology and descent of Kummer extensions	1984	Lindsay N. Childs
+ PDF Chat	A Concrete Introduction to Higher Algebra.	1983	Michael J. Rosen Lindsay N. Childs
+ PDF Chat	A Stickelberger Condition on Cyclic Galois Extensions	1982	Lindsay N. Childs
+ PDF Chat	Stickelberger relations and tame extensions of prime degree	1981	Lindsay N. Childs
+	On Modular Group Rings, Normal Bases, and Fixed Points	1981	Lindsay N. Childs Morris Orzech
+	On Modular Group Rings, Normal Bases, and Fixed Points	1981	Lindsay N. Childs Morris Orzech
+	The Discriminant and Stickelberger’s Theorem	1979	Lindsay N. Childs
+	Fermat’s Theorem, II	1979	Lindsay N. Childs
+	Unique Factorization into Products of Primes	1979	Lindsay N. Childs
+	Sums of Two Squares	1979	Lindsay N. Childs
+	Rings and Fields	1979	Lindsay N. Childs
+	Repeating Decimals, II	1979	Lindsay N. Childs
+	Factoring in ℚ[x], I	1979	Lindsay N. Childs
+	Factoring in ℚ[x], IV: Bad Examples mod p	1979	Lindsay N. Childs
+	Induction; the Binomial Theorem	1979	Lindsay N. Childs
+	Irreducible Polynomials in ℝ[x]	1979	Lindsay N. Childs
+	Algebraic Number Fields	1979	Lindsay N. Childs
+	Factoring in ℤp[x]	1979	Lindsay N. Childs
+	Sturm’s Algorithm	1979	Lindsay N. Childs
+	Congruence Classes Modulo a Polynomial: Simple Field Extensions	1979	Lindsay N. Childs
+	On Unique Factorization	1979	Lindsay N. Childs
+	Fourth Roots of One in ℤp	1979	Lindsay N. Childs
+	Congruences Modulo a Polynomial	1979	Lindsay N. Childs
+	Primes	1979	Lindsay N. Childs
+ PDF Chat	A Concrete Introduction to Higher Algebra	1979	Lindsay N. Childs
+	Irreducible Polynomials in ℤp[x]	1979	Lindsay N. Childs
+	Finite Fields	1979	Lindsay N. Childs
+	The Fundamental Theorem of Algebra	1979	Lindsay N. Childs
+	Numbers	1979	Lindsay N. Childs
+	Partial Fractions	1979	Lindsay N. Childs
+	Congruence Classes	1979	Lindsay N. Childs
+	Factoring in ℚ[x], II: Lagrange Interpolation	1979	Lindsay N. Childs
+	Polynomials and Roots	1979	Lindsay N. Childs
+	Linearizing of n-ic forms and generalized Clifford algebras	1978	Lindsay N. Childs
+	The Group of Unramified Kummer Extensions of Prime Degree	1977	Lindsay N. Childs
+	On Brauer groups of some normal local rings	1976	Lindsay N. Childs
+	On the Brauer group and factoriality of normal domains	1975	Lindsay N. Childs Gerald S. Garfinkel Morris Orzech
+	The Brauer Group of Graded Azumaya Algebras. II: Graded Galois Extensions	1975	Lindsay N. Childs
+ PDF Chat	The Brauer group of graded Azumaya algebras. II. Graded Galois extensions	1975	Lindsay N. Childs
+	The picard invariant of a principal homogeneous space	1974	Lindsay N. Childs Andy R. Magid
+ PDF Chat	Mayer-Vietoris sequences and Brauer groups of nonnormal domains	1974	Lindsay N. Childs
+ PDF Chat	The Brauer group of graded Azumaya algebras	1973	Lindsay N. Childs Gerald S. Garfinkel Morris Orzech
+	On normal azumaya algebras and the Teichmuller cocycle map	1972	Lindsay N. Childs
+ PDF Chat	Abelian Galois extensions of rings containing roots of unity	1971	Lindsay N. Childs
+ PDF Chat	On covering spaces and Galois extensions	1971	Lindsay N. Childs
+ PDF Chat	The exact sequence of low degree and normal algebras	1970	Lindsay N. Childs
+ PDF Chat	Correction to: “On automorphisms of separable algebras”	1969	Lindsay N. Childs Frank DeMeyer
+ PDF Chat	On Projective Modules and Automorphisms of Central Separable Algebras	1969	Lindsay N. Childs
+ PDF Chat	On automorphisms of separable algebras	1967	Lindsay N. Childs Frank DeMeyer
+	A note on the fixed ring of a Galois extension	1967	Lindsay N. Childs
+	A Galois theory for separable algebras	1966	Lindsay N. Childs

Common Coauthors

Coauthor	Papers Together
Cornélius Greither	18
Robert G. Underwood	16
Timothy Kohl	14
Kevin Keating	14
Alan Koch	14
Paul J. Truman	14
Nigel P. Byott	4
Morris Orzech	4
Gerald S. Garfinkel	2
Frank DeMeyer	2
David J. Moss	2
G. Griffith Elder	2
A. Caranti	1
Andy R. Magid	1
Robert A. Underwood	1
S. C. Featherstonhaugh	1
Karl Heinz Zimmermann	1
Susan Hurley	1
John C. Higgins	1
K.-H. Zimmermann	1
Jim Sauerberg	1
Douglas M. Campbell	1
Michael J. Rosen	1
Susan Hurley	1
Harold H. Smith	1
Scott Carnahan	1
Jesse Corradino	1
Greg J. Elder	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Hopf Galois theory for separable field extensions	1987	Cornélius Greither Bodo Pareigis	23
+ PDF Chat	Hopf algebras and galois theory	1969	Stephen U. Chase Moss E. Sweedler	13
+	Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory	2000	Lindsay N. Childs	11
+	Uniqueness of hopf galois structure for separable field extensions	1996	Nigel P. Byott	10
+ PDF Chat	Hopf Algebras and Galois Theory	1969	Stephen U. Chase Moss E. Sweedler	9
+ PDF Chat	Automorphisms of separable algebras	1961	Alex Rosenberg Daniel Zelinsky	7
+ PDF Chat	The Brauer group of a commutative ring	1960	Maurice Auslander Oscar Goldman	7
+	Abelian regular subgroups of the affine group and radical rings	2006	A. Caranti Francesca Dalla Volta Massimiliano Sala	6
+	Abelian extensions of commutative rings	1965	David K. Harrison	6
+ PDF Chat	Some Hopf Galois structures arising from elementary abelian $p$-groups	2007	Lindsay N. Childs	6
+	Counting Hopf Galois Structures on Non-Abelian Galois Field Extensions	1999	Scott Carnahan Lindsay N. Childs	6
+	Cayley's Theorem and Hopf Galois structures for semidirect products of cyclic groups	2006	Lindsay N. Childs Jesse Corradino	5
+	On Hopf Galois structures and complete groups	2003	Lindsay N. Childs	5
+	Integral Hopf–Galois Structures on Degree p2 Extensions of p-adic Fields	2002	Nigel P. Byott	5
+	Elementary abelian Hopf Galois structures and polynomial formal groups	2004	Lindsay N. Childs	5
+	HOPF–GALOIS STRUCTURES ON FIELD EXTENSIONS WITH SIMPLE GALOIS GROUPS	2003	Nigel P. Byott	5
+	On the hopf galois theory for separable field extensions	1989	Lindsay N. Childs	5
+ PDF Chat	Abelian Galois extensions of rings containing roots of unity	1971	Lindsay N. Childs	5
+	Extensions of finite group schemes, and Hopf Galois theory over a complete discrete valuation ring	1992	Cornélius Greither	5
+ PDF Chat	The Brauer Group of a Commutative Ring	1960	Maurice Auslander Oscar Goldman	5
+ PDF Chat	Quadratic Hopf algebras and Galois extensions	1982	H. F. Kreimer	5
+	Galois objects with normal bases for free Hopf algebras of prime degree	1987	Susan Hurley	5
+	On the Galois correspondence theorem in separable Hopf Galois theory	2016	Teresa Crespo Anna Rio Montserrat Vela	5
+	Braces, radical rings, and the quantum Yang–Baxter equation	2006	Wolfgang Rump	4
+	Cleft Extensions of Hopf Algebras	1993	Nigel P. Byott	4
+ PDF Chat	Skew braces and the Yang–Baxter equation	2016	L. Guarnieri L. Vendramin	4
+	Classification of the Hopf Galois Structures on Prime Power Radical Extensions	1998	Timothy Kohl	4
+ PDF Chat	Taming wild extensions with Hopf algebras	1987	Lindsay N. Childs	4
+ PDF Chat	Abelian Hopf Galois structures on prime-power Galois field extensions	2012	S. C. Featherstonhaugh A. Caranti Lindsay N. Childs	4
+ PDF Chat	Hopf algebras, polynomial formal groups, and Raynaud orders	1998	Lindsay N. Childs Cornélius Greither David J. Moss Jim Sauerberg Karl Heinz Zimmermann	4
+ PDF Chat	Separable Algebras Over Commutative Rings	1966	G. J. Janusz	4
+	Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.	1959	Heinrich-Wolfgang Leopoldt	4
+ PDF Chat	A Theorem of Harrison, Kummer Theory, and Galois Algebras	1966	Stephen U. Chase Alex Rosenberg	4
+ PDF Chat	Representing classes in the Brauer group of quadratic number rings as smash products	1987	Lindsay N. Childs	4
+	On commutor rings and Galois theory of separable algebras	1964	Teruo Kanzaki	4
+	R-Hopf Algebra Orders in KCp2	1994	Robert G. Underwood	4
+ PDF Chat	Separable algebras over commutative rings	1966	G. J. Janusz	3
+	Counterexample to a conjecture about braces	2016	David Bachiller	3
+ PDF Chat	On the Galois correspondence for Hopf-Galois structures	2021	Lindsay N. Childs Cornélius Greither Kevin Keating Alan Koch Timothy Kohl Paul J. Truman Robert G. Underwood	3
+	Infinitesimal Group Scheme Actions on Finite Field Extensions	1976	Stephen U. Chase	3
+	Groups of order 4p, twisted wreath products and Hopf–Galois theory	2007	Timothy Kohl	3
+	Some notes on the general Galois theory of rings	1965	Frank DeMeyer	3
+	Hopf Galois Structures on Degree p 2 Cyclic Extensions of Local Fields	1996	Lindsay N. Childs	3
+ PDF Chat	Classification of nilpotent associative algebras of small dimension	2018	Willem A. de Graaf	3
+ PDF Chat	A cohomological description of abelian Galois extensions	1969	Morris Orzech	3
+	The valuative condition and R-Hopf algebra orders in KC p 3	1996	Robert G. Underwood	3
+ PDF Chat	Cohomology and Galois theory. I. Normality of algebras and Teichmüller’s cocycle	1948	Samuel Eilenberg Saunders MacLane	3
+	Galois theories and normal bases	1976	H. F. Kreimer P.M Cook	3
+	Solubility criteria for Hopf-Galois structures	2014	Nigel P. Byott	3
+	Hopf–Galois structures on Galois field extensions of degree pq	2003	Nigel P. Byott	3