Jairo Z. Gonçalves

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All published works

Action	Title	Year	Authors
+	Elements Generating a Free Subgroup of Rank Three in the Multiplicative Group of a Division Ring	2024	Jairo Z. Gonçalves Gabriel de Arêa Leão Souza
+	Free symmetric pairs in the field of fractions of enveloping Lie algebras with involution	2022	Jairo Z. Gonçalves
+	Free pairs of symmetric elements in normal subgroups of division rings	2020	Jairo Z. Gonçalves D. S. Passman
+	On free subgroups in division rings	2019	Jason P. Bell Jairo Z. Gonçalves
+	Free subgroups in <i>k</i>(<i>x</i> <sub>1</sub>,... ,<i>x</i> <sub> <i>n</i> </sub>)(<i>X</i>;σ) and <i>k</i>(<i>x</i>,<i>y</i>)(<i>k</i>;σ)	2019	Jairo Z. Gonçalves
+ PDF Chat	Free Symmetric and Unitary Pairs in the Field of Fractions of Torsion-Free Nilpotent Group Algebras	2019	Vitor O. Ferreira Jairo Z. Gonçalves Javier Sánchez
+	On free subgroups in division rings.	2018	Jason P. Bell Jairo Z. Gonçalves
+ PDF Chat	Group algebras whose units satisfy a Laurent polynomial identity	2018	Osnel Broche Jairo Z. Gonçalves Ángel del Rı́o
+	Free symmetric and unitary pairs in the field of fractions of torsion-free nilpotent group algebras	2018	Vitor O. Ferreira Jairo Z. Gonçalves Javier Sánchez
+	Free algebras in division rings with an involution	2018	Vitor O. Ferreira Érica Z. Fornaroli Jairo Z. Gonçalves
+	On free subgroups in division rings	2018	Jason P. Bell Jairo Z. Gonçalves
+	Free symmetric and unitary pairs in the field of fractions of torsion-free nilpotent group algebras	2018	Vitor O. Ferreira Jairo Z. Gonçalves Javier Sánchez
+	Group algebras whose units satisfy a Laurent Polynomial Identity	2017	Osnel Broche Jairo Z. Gonçalves Ángel del Rı́o
+	Free groups in a normal subgroup of the field of fractions of a skew polynomial ring	2017	Jairo Z. Gonçalves
+	Free unit groups in group rings and division rings: My collaboration with Don Passman	2017	Jairo Z. Gonçalves
+	Group algebras whose units satisfy a Laurent Polynomial Identity	2017	Osnel Broche Jairo Z. Gonçalves Ángel del Rı́o
+	Free pairs of symmetric and unitary units in normal subgroups of a division ring	2016	Jairo Z. Gonçalves
+	Free algebras in division rings with an involution	2016	Vitor O. Ferreira Érica Z. Fornaroli Jairo Z. Gonçalves
+	Free algebras and free groups in Ore extensions and free group algebras in division rings	2016	Jason P. Bell Jairo Z. Gonçalves
+	Free algebras in division rings with an involution	2016	Vitor O. Ferreira Érica Z. Fornaroli Jairo Z. Gonçalves
+	Free symmetric and unitary pairs in group algebras with involution	2015	Jairo Z. Gonçalves M. Shirvani
+ PDF Chat	Free symmetric and unitary pairs in division rings infinite-dimensional over their centers	2015	Vitor O. Ferreira Jairo Z. Gonçalves
+ PDF Chat	Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras	2015	Vitor O. Ferreira Jairo Z. Gonçalves Javier Sánchez
+	Free algebras and free groups in Ore extensions and free group algebras in division rings	2015	Jason P. Bell Jairo Z. Gonçalves
+	Free groups in normal subgroups of the multiplicative group of a division ring	2015	Jairo Z. Gonçalves D. S. Passman
+ PDF Chat	Constructing free groups in a normal subgroup of the multiplicative group of division rings	2015	Jairo Z. Gonçalves
+ PDF Chat	Involutions and free pairs of bicyclic units in integral group rings of non-nilpotent groups	2015	Jairo Z. Gonçalves D. S. Passman
+	Free algebras and free groups in Ore extensions and free group algebras in division rings	2015	Jason P. Bell Jairo Z. Gonçalves
+	Free subgroups in division rings generated by group rings of soluble groups	2014	Jairo Z. Gonçalves A. I. Lichtman
+ PDF Chat	Explicit free groups in division rings	2014	Jairo Z. Gonçalves D. S. Passman
+	Free algebras generated by symmetric elementsinside division rings with involution	2014	Vitor O. Ferreira Jairo Z. Gonçalves Javier Sánchez
+	Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras	2014	Vitor O. Ferreira Jairo Z. Gonçalves Javier Sánchez
+	Bass units as free factors in integral group rings of simple groups	2014	Jairo Z. Gonçalves Robert M. Guralnick Ángel del Rı́o
+	Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras	2014	Vitor O. Ferreira Jairo Z. Gonçalves Javier Sánchez
+	Free symmetric and unitary pairs in division rings infinite-dimensional over their centers	2013	Vitor O. Ferreira Jairo Z. Gonçalves
+	Free symmetric group algebras in division rings generated by poly-orderable groups	2013	Vitor O. Ferreira Jairo Z. Gonçalves Javier Sánchez
+	Bass units as free factors in integral group rings of simple groups	2013	Jairo Z. Gonçalves Robert M. Guralnick Ángel del Rı́o
+	Bass units as free factors in integral group rings of simple groups	2013	Jairo Z. Gonçalves Robert M. Guralnick Ángel del Rı́o
+	Free symmetric and unitary pairs in division rings infinite-dimensional over their centers	2013	Vitor O. Ferreira Jairo Z. Gonçalves
+	A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS	2012	Jairo Z. Gonçalves Ángel del Rı́o
+	Free symmetric group algebras in division rings generated by poly-orderable groups	2012	Vitor O. Ferreira Jairo Z. Gonçalves Javier Sánchez
+	A Survey on Free Objects in Division Rings and in Division Rings with an Involution	2012	Jairo Z. Gonçalves M. Shirvani
+	FREE GROUP ALGEBRAS IN DIVISION RINGS	2012	Jairo Z. Gonçalves Eduardo Tengan
+	Free symmetric group algebras in division rings generated by poly-orderable groups	2012	Vitor O. Ferreira Jairo Z. Gonçalves Javier Sánchez
+ PDF Chat	Alternating units as free factors in the group of units of integral group rings	2011	Jairo Z. Gonçalves Paula M. Veloso
+	INVOLUTIONS AND FREE PAIRS OF BASS CYCLIC UNITS IN INTEGRAL GROUP RINGS	2011	Jairo Z. Gonçalves D. S. Passman
+	BASS CYCLIC UNITS AS FACTORS IN A FREE GROUP IN INTEGRAL GROUP RING UNITS	2011	Jairo Z. Gonçalves Ángel del Rı́o
+ PDF Chat	Involutions and free pairs of bicyclic units in integral group rings	2010	Jairo Z. Gonçalves D. S. Passman
+	A Note on Free Groups in the Ring of Fractions of Skew Polynomial Rings	2009	Jairo Z. Gonçalves Eduardo Tengan
+	Special units, unipotent units and free groups in group algebras	2009	Jairo Z. Gonçalves Paula M. Veloso
+	Algebraic elements as free factors in simple Artinian rings	2009	Jairo Z. Gonçalves M. Shirvani
+	Free Groups in Central Simple Algebras without Tits' Theorem	2008	Jairo Z. Gonçalves M. Shirvani
+ PDF Chat	Bicyclic units, Bass cyclic units and free groups	2008	Jairo Z. Gonçalves Ángel del Rı́o
+	Erratum to “Linear groups and group rings” [J. Algebra 295 (2006) 94–118]	2006	Jairo Z. Gonçalves D. S. Passman
+	Bicyclic units, Bass cyclic units and free groups	2006	Jairo Z. Gonçalves Ángel del Rı́o
+	Free symmetric and unitary pairs in central simple algebras with involution	2006	Jairo Z. Gonçalves M. Shirvani
+	Linear groups and group rings	2005	Jairo Z. Gonçalves D. S. Passman
+	FREE SYMMETRIC AND UNITARY PAIRS IN DIVISION RINGS WITH INVOLUTION	2005	Vitor O. Ferreira Jairo Z. Gonçalves Arnaldo Mandel
+	Free Unit Groups in Algebras	2003	Jairo Z. Gonçalves D. S. Passman
+	Identities on Units of Algebraic Algebras	2002	Mikhailo Dokuchaev Jairo Z. Gonçalves
+	Free Unit Groups in Group Algebras	2001	Jairo Z. Gonçalves D. S. Passman
+	Unitary units in group algebras	2001	Jairo Z. Gonçalves D. S. Passman
+	FREE SUBGROUPS IN THE GROUP OF UNITS OF A TWISTED GROUP ALGEBRA	2001	Jairo Z. Gonçalves Arnaldo Mandel
+	Free Products of Units in Algebras. II. Crossed Products	2000	Jairo Z. Gonçalves Arnaldo Mandel M. Shirvani
+	Large Free Algebras in the Ring of Fractions of Skew Polynomial Rings	1999	M. Shirvani Jairo Z. Gonçalves
+	Free Products of Units in Algebras I. Quaternion Algebras	1999	Jairo Z. Gonçalves Arnaldo Mandel M. Shirvani
+	Free Group Algebras in the Field of Fractions of Differential Polynomial Rings and Enveloping Algebras	1998	M. Shirvani Jairo Z. Gonçalves
+	On the codimension of the image of a derivation in a communicative field	1998	Jairo Z. Gonçalves M. Shirvani
+ PDF Chat	Semigroup identities on units of integral group rings	1997	Mikhailo Dokuchaev Jairo Z. Gonçalves
+	A commutativity theorem for division rings and an extension of a result of Faith	1996	Jairo Z. Gonçalves Arnaldo Mandel
+	Free Group Algebras in Certain Division Rings	1996	L. M. Vasconcellos Figueiredo Jairo Z. Gonçalves M. Shirvani
+ PDF Chat	On free group algebras in division rings with uncountable center	1996	Jairo Z. Gonçalves M. Shirvani
+ PDF Chat	Construction of free subgroups in the group of units of modular group algebras	1996	Jairo Z. Gonçalves D. S. Passman
+	Rings with algebraic n-engel elements	1994	Antonio Giambruno Jairo Z. Gonçalves Arnaldo Mandel
+ PDF Chat	Subnormal subgroups in 𝑈(𝑍𝐺)	1988	Jairo Z. Gonçalves Jürgen Ritter Sudarshan K. Sehgal
+ PDF Chat	Construction of open sets of free <i>K</i>-tuples of matrices	1987	Arnaldo Mandel Jairo Z. Gonçalves
+ PDF Chat	Free Subgroups and the Residual Nilpotence of the Group of Units of Modular and <i>p</i>-Adic Group Rings	1986	Jairo Z. Gonçalves
+	Are there free groups in division rings?	1986	Jairo Z. Gonçalves Arnaldo Mandel
+	Group rings with solvable unit groups	1986	Jairo Z. Gonçalves
+	Free subgroups in the group of units of group rings II	1985	Jairo Z. Gonçalves
+	Integral group rings whose group of units is solvable an elementary proof	1985	Jairo Z. Gonçalves
+ PDF Chat	Normal and subnormal subgroups in the group of units of group rings	1985	Jairo Z. Gonçalves
+ PDF Chat	Free Subgroups of Units in Group Rings	1984	Jairo Z. Gonçalves
+ PDF Chat	Free Groups in Subnormal Subgroups and the Residual Nilpotence of the Group of Units of Groups Rings	1984	Jairo Z. Gonçalves
+ PDF Chat	Free <i>k</i>-tuples in linear groups	1983	Arnaldo Mandel Jairo Z. Gonçalves

Common Coauthors

Coauthor	Papers Together
Vitor O. Ferreira	17
D. S. Passman	12
M. Shirvani	12
Ángel del Rı́o	10
Javier Sánchez	10
Arnaldo Mandel	9
Jason P. Bell	6
Robert M. Guralnick	3
Érica Z. Fornaroli	3
Osnel Broche	3
Mikhailo Dokuchaev	2
Eduardo Tengan	2
Paula M. Veloso	2
Gabriel de Arêa Leão Souza	1
A. I. Lichtman	1
Sudarshan K. Sehgal	1
L. M. Vasconcellos Figueiredo	1
Jürgen Ritter	1
Antonio Giambruno	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On subgroups of the multiplicative group of skew fields	1977	A. I. Lichtman	20
+	Free subgroups in linear groups	1972	Jacques Tits	19
+ PDF Chat	Free Subgroups in the Unit Groups of Integral Group Rings	1980	B. Hartley P. F. Pickel	19
+	The Algebraic Structure of Group Rings	1977	D. S. Passman	19
+ PDF Chat	Free Groups in Subnormal Subgroups and the Residual Nilpotence of the Group of Units of Groups Rings	1984	Jairo Z. Gonçalves	17
+	A Survey on Free Objects in Division Rings and in Division Rings with an Involution	2012	Jairo Z. Gonçalves M. Shirvani	16
+ PDF Chat	Free subgroups of normal subgroups of the multiplicative group of skew fields	1978	A. I. Lichtman	15
+	Free Products of Units in Algebras I. Quaternion Algebras	1999	Jairo Z. Gonçalves Arnaldo Mandel M. Shirvani	14
+	Free Products of Units in Algebras. II. Crossed Products	2000	Jairo Z. Gonçalves Arnaldo Mandel M. Shirvani	13
+	Topics in Group Rings	1978	Sudarshan K. Sehgal	13
+ PDF Chat	Constructing free subgroups of integral group ring units	1997	Zbigniew Marciniak Sudarshan K. Sehgal	13
+	Free Group Algebras in Certain Division Rings	1996	L. M. Vasconcellos Figueiredo Jairo Z. Gonçalves M. Shirvani	12
+	Linear groups and group rings	2005	Jairo Z. Gonçalves D. S. Passman	12
+	On normal subgroups of multiplicative group of skew fields generated by a polycyclic-by-finite group	1982	A. I. Lichtman	12
+	On group rings of nilpotent groups	1984	Leonid Makar-Limanov	12
+ PDF Chat	On free subalgebras of certain division algebras	1986	Martin Lorenz	12
+	On Free Subobjects of Skew Fields	1984	Leonid Makar-Limanov	11
+ PDF Chat	Free Subgroups of Units in Group Rings	1984	Jairo Z. Gonçalves	10
+	FREE SYMMETRIC AND UNITARY PAIRS IN DIVISION RINGS WITH INVOLUTION	2005	Vitor O. Ferreira Jairo Z. Gonçalves Arnaldo Mandel	10
+	The skew field of fractions of the weyl algebra contains a free noncommutative subalgebra	1983	Leonid Makar-Limanov	10
+ PDF Chat	On free group algebras in division rings with uncountable center	1996	Jairo Z. Gonçalves M. Shirvani	9
+ PDF Chat	Free Groups and Subgroups of Finite Index in the Unit Group of an Integral Group Ring	2007	Ann Dooms Eric Jespers Manuel Ruiz Marín	9
+ PDF Chat	Explicit free groups in division rings	2014	Jairo Z. Gonçalves D. S. Passman	9
+ PDF Chat	Free subalgebras of enveloping fields	1991	Leonid Makar-Limanov Peter Malcolmson	9
+ PDF Chat	Free subalgebras of quotient rings of Ore extensions	2012	Jason P. Bell D. Rogalski	8
+	Free symmetric and unitary pairs in central simple algebras with involution	2006	Jairo Z. Gonçalves M. Shirvani	8
+ PDF Chat	Construction of free subgroups in the group of units of modular group algebras	1996	Jairo Z. Gonçalves D. S. Passman	8
+	Free Subgroups and Free Subsemigroups of Division Rings	1996	Katsuo Chiba	8
+ PDF Chat	Non-abelian groups in which every subgroup is abelian	1903	G. A. Miller H. C. Moreno	7
+	Matrix rings and linear groups over a field of fractions of enveloping algebras and group rings, I	1984	A. I. Lichtman	7
+	Units in Integral Group Rings	1993	Sudarshan K. Sehgal	6
+	On subalgebras of the first Weyl skewfield	1991	L. Makar Limanov	6
+	On matrix rings and linear groups over fields of fractions of group rings and enveloping algebras, II	1984	A. I. Lichtman	6
+ PDF Chat	Involutions and free pairs of bicyclic units in integral group rings	2010	Jairo Z. Gonçalves D. S. Passman	6
+	Free symmetric group algebras in division rings generated by poly-orderable groups	2013	Vitor O. Ferreira Jairo Z. Gonçalves Javier Sánchez	6
+	The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups	1966	Hyman Bass	6
+	Free subgroups in division rings generated by group rings of soluble groups	2014	Jairo Z. Gonçalves A. I. Lichtman	6
+	Large Free Algebras in the Ring of Fractions of Skew Polynomial Rings	1999	M. Shirvani Jairo Z. Gonçalves	6
+	Unitary units in group algebras	2001	Jairo Z. Gonçalves D. S. Passman	6
+	Free groups in normal subgroups of the multiplicative group of a division ring	2015	Jairo Z. Gonçalves D. S. Passman	6
+ PDF Chat	On ordered division rings	1949	Β Neumann	6
+ PDF Chat	Groups generated by two bicyclic units in integral group rings	2002	Eric Jespers Ángel del Rı́o Manuel Ruiz Marín	6
+	Are there free groups in division rings?	1986	Jairo Z. Gonçalves Arnaldo Mandel	5
+	Valuation Methods in Division Rings	1995	A. I. Lichtman	5
+	Group Rings and Division Rings	1984	Martin Lorenz	5
+ PDF Chat	Free symmetric and unitary pairs in division rings infinite-dimensional over their centers	2015	Vitor O. Ferreira Jairo Z. Gonçalves	5
+ PDF Chat	Bicyclic units, Bass cyclic units and free groups	2008	Jairo Z. Gonçalves Ángel del Rı́o	5
+	On free subgroups of units of rings	1999	A. Salwa	5
+	Free Group Algebras in the Field of Fractions of Differential Polynomial Rings and Enveloping Algebras	1998	M. Shirvani Jairo Z. Gonçalves	5
+	Free Subgroups in the Units of ℤ[<i>K</i><sub>8</sub> × <i>C</i><sub><i>p</i></sub>]	2003	Raul Antônio Ferraz	5