Sarah B. Hart

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All published works

Action	Title	Year	Authors
+ PDF Chat	A note on involution prefixes in Coxeter groups	2025	Sarah B. Hart Peter Rowley
+	Root cycles in Coxeter groups	2024	Sarah B. Hart Veronica Kelsey Peter Rowley
+	TRIPLE-PRODUCT-FREE SETS	2023	PRECIOUS U. AGIGOR-MIKE Sarah B. Hart C. M. Martin
+	Lengths of involutions in finite Coxeter groups	2022	Sarah B. Hart Peter Rowley
+ PDF Chat	GROUPS WITH A GIVEN NUMBER OF NONPOWER SUBGROUPS	2022	Chimere S. Anabanti Sarah B. Hart
+	Groups with a given number of nonpower subgroups	2021	Chimere S. Anabanti Sarah B. Hart
+ PDF Chat	Generating finite Coxeter groups with elements of the same order	2021	Sarah B. Hart Veronica Kelsey Peter Rowley
+ PDF Chat	A question of Zhou, Shi and Duan on nonpower subgroups of finite groups	2021	Chimere S. Anabanti A.B. Aroh Sarah B. Hart A.R. Oodo
+	On lower bounds for Erdős-Szekeres products	2021	C. Billsborough Michael Freedman Sarah B. Hart Gidon Kowalsky D. S. Lubinsky A. Pomeranz A. Sammel
+	Groups with many roots	2020	Sarah B. Hart Daniel McVeagh
+ PDF Chat	A question of Mazurov on groups of exponent dividing 12	2020	Chimere S. Anabanti Sarah B. Hart Michael C. Slattery
+	Generating finite Coxeter groups with elements of the same order	2020	Sarah B. Hart Veronica Kelsey Peter Rowley
+ PDF Chat	Commuting involution graphs in classical affine Weyl groups	2020	Sarah B. Hart Amal Sbeiti Clarke
+	Commuting Involution Graphs in Classical Affine Weyl Groups	2018	Sarah B. Hart Amal Sbeiti Clarke
+ PDF Chat	Maximal length elements of excess zero in finite Coxeter groups	2018	Sarah B. Hart Peter Rowley
+ PDF Chat	Commuting involution graphs for	2018	Sarah B. Hart Amal Sbeiti Clarke
+	A Note on Commuting Involution Graphs in Affine Coxeter Groups	2018	Sarah B. Hart Amal Sbeiti Clarke
+ PDF Chat	How many elements of a Coxeter group have a unique reduced expression?	2017	Sarah B. Hart
+	How many elements of a Coxeter group have a unique reduced expression	2017	Sarah B. Hart
+ PDF Chat	Groups Containing Small Locally Maximal Product-Free Sets	2016	Chimere S. Anabanti Sarah B. Hart
+	Groups whose locally maximal product-free sets are complete	2016	Chimere S. Anabanti Grahame Erskine Sarah B. Hart
+	On a conjecture of Street and Whitehead on locally maximal product-free sets	2015	Chimere S. Anabanti Sarah B. Hart
+	A note on filled groups	2015	Sarah B. Hart Chimere S. Anabanti
+	A note on filled groups (Birkbeck Preprint Series No. 17)	2015	Sarah B. Hart Chimere S. Anabanti
+	On a conjecture of Street and Whitehead on locally maximal product-free sets	2015	Chimere S. Anabanti Sarah B. Hart
+	Locally maximal product-free sets of size 3	2015	Sarah B. Hart Chimere S. Anabanti
+	Proof of the conjecture of Giudici and Hart on locally maximal sum-free sets of size $3$	2015	Chimere S. Anabanti Sarah B. Hart
+	Maximal length elements of excess zero in finite Coxeter groups	2015	Sarah B. Hart Peter Rowley
+ PDF Chat	A fast search algorithm for 〈m,m,m〉 Triple Product Property triples and an application for 5×5 matrix multiplication	2015	Sarah B. Hart Ivo Hedtke Matthias Müller–Hannemann Sandeep Murthy
+	Maximal length elements of excess zero in finite Coxeter groups	2015	Sarah B. Hart Peter Rowley
+	On a conjecture of Street and Whitehead on locally maximal product-free sets	2015	Chimere S. Anabanti Sarah B. Hart
+	A note on filled groups	2015	Sarah B. Hart Chimere S. Anabanti
+ PDF Chat	On excess in finite Coxeter groups	2014	Sarah B. Hart Peter Rowley
+	Involution Products in Coxeter Groups	2014	Sarah B. Hart Peter Rowley
+	Zero Excess and Minimal Length in Finite Coxeter Groups	2014	Sarah B. Hart Peter Rowley
+	On Excess in Finite Coxeter Groups	2014	Sarah B. Hart Peter Rowley
+	Involution Statistics in Finite Coxeter Groups	2014	Sarah B. Hart Peter Rowley
+	Involution Products in Coxeter Groups	2014	Sarah B. Hart Peter J. Rowley
+	Zero Excess and Minimal Length in Finite Coxeter Groups	2014	Sarah B. Hart Peter J. Rowley
+	On Excess in Finite Coxeter Groups	2014	Sarah B. Hart Peter J. Rowley
+ PDF Chat	Corrigendum to Involution products in Coxeter groups [J. Group Theory 14 (2011), no. 2, 251–259]	2013	Sarah B. Hart Peter Rowley
+ PDF Chat	$X$-POSETS OF CERTAIN COXETER GROUPS	2013	Sarah B. Hart Peter Rowley
+	A Fast Search Algorithm for Triple Product Property Triples and an Application for 5x5 Matrix Multiplication	2013	Sarah B. Hart Ivo Hedtke Matthias Müller–Hannemann Sandeep Murthy
+	On cosets in Coxeter groups	2012	Sarah B. Hart Peter Rowley
+ PDF Chat	Zero excess and minimal length in finite Coxeter groups	2012	Sarah B. Hart Peter Rowley
+	Lengths of parabolic subgroups in finite Coxeter groups	2011	Sarah B. Hart Peter Rowley
+	Involution products in Coxeter groups	2010	Sarah B. Hart Peter Rowley
+	A note on maximal length elements in conjugacy classes of finite coxeter groups	2010	Sarah B. Hart Peter Rowley
+	Poincaré Series of Cosets in Coxeter Groups	2009	Sarah B. Hart Peter Rowley
+ PDF Chat	Small Maximal Sum-Free Sets	2009	Michael Giudici Sarah B. Hart
+ PDF Chat	A Note on Commuting Graphs for Symmetric Groups	2009	C. Bates D. Bundy Sarah B. Hart Peter Rowley
+ PDF Chat	The case of equality in the Livingstone-Wagner Theorem	2008	D. Bundy Sarah B. Hart
+	Commuting involution graphs for sporadic simple groups	2007	C. Bates D. Bundy Sarah B. Hart Peter Rowley
+	Primitive k-free permutation groups	2007	C. Bates D. Bundy Sarah B. Hart Peter Rowley
+	Lengths of subsets in coxeter groups	2007	Sarah B. Hart Peter Rowley
+	Commuting involution graphs for $\tilde C_n$	2006	Sarah B. Hart Amal Sbeiti Clarke

Common Coauthors

Coauthor	Papers Together
Peter Rowley	25
Chimere S. Anabanti	14
Amal Sbeiti Clarke	5
D. Bundy	4
Peter J. Rowley	3
Veronica Kelsey	3
C. Bates	3
Ivo Hedtke	2
Sandeep Murthy	2
Matthias Müller–Hannemann	2
Daniel McVeagh	1
Michael Freedman	1
C. Billsborough	1
Michael Giudici	1
A.R. Oodo	1
A. Pomeranz	1
A. Sammel	1
A.B. Aroh	1
PRECIOUS U. AGIGOR-MIKE	1
Gidon Kowalsky	1
D. S. Lubinsky	1
Michael C. Slattery	1
Grahame Erskine	1
C. M. Martin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Reflection Groups and Coxeter Groups	1990	James E. Humphreys	12
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	9
+	Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras	2000	Meinolf Geck Götz Pfeiffer	8
+ PDF Chat	Conjugacy classes of involutions in Coxeter groups	1982	R. W. Richardson	7
+	Commuting involution graphs for symmetric groups	2003	C. Bates D. Bundy Sarah B. Perkins Peter Rowley	7
+ PDF Chat	Small Maximal Sum-Free Sets	2009	Michael Giudici Sarah B. Hart	6
+	Finite groups generated by 3-transpositions. I	1971	Bernd Fischer	5
+	Commuting Involution Graphs in Special Linear Groups	2004	C. Bates D. Bundy Sarah B. Perkins Peter Rowley	5
+ PDF Chat	Sum-free sets in abelian groups	2005	Ben Green Imre Z. Ruzsa	5
+	Involution products in Coxeter groups	2010	Sarah B. Hart Peter Rowley	5
+	Quasirandom Groups	2008	W. T. Gowers	5
+ PDF Chat	Conjugacy classes in the Weyl group	1970	Rayna J. Carter	5
+	REFLECTION GROUPS AND COXETER GROUPS (Cambridge Studies in Advanced Mathematics 29)	1991	R. W. Carter	4
+	Commuting involution graphs for finite Coxeter groups	2003	C. Bates D. Bundy Sarah B. Perkins Peter Rowley	4
+ PDF Chat	None	1997	Jian-yi Shi	4
+	Sum-free sets, difference sets and cyclotomy	1974	Anne Street Earl Glen Whitehead	4
+	Commuting involution graphs for sporadic simple groups	2007	C. Bates D. Bundy Sarah B. Hart Peter Rowley	4
+ PDF Chat	Commuting involution graphs for	2018	Sarah B. Hart Amal Sbeiti Clarke	3
+	On Groups of Even Order	1955	Richard Brauer Kenneth Arthur Fowler	3
+	Coxeter length	2004	Sarah B. Perkins Peter Rowley	3
+	Finite Groups of Lie Type: Conjugacy Classes and Complex Characters	1993	Roger W. Carter	3
+ PDF Chat	Generalized quotients in Coxeter groups	1988	Anders Björner Michelle L. Wachs	3
+	Group ramsey theory	1974	Anne Street Earl Glen Whitehead	3
+ PDF Chat	Zero excess and minimal length in finite Coxeter groups	2012	Sarah B. Hart Peter Rowley	3
+	CHEVIE ? A system for computing and processing generic character tables	1996	Meinolf Geck Gerhard Hiß Frank L�beck Gunter Malle Götz Pfeiffer	3
+	Some characterizations of Bruhat ordering on a Coxeter group and determination of the relative M�bius function	1977	Vinay V. Deodhar	3
+	Large Product-Free Subsets of Finite Groups	1997	Kiran S. Kedlaya	3
+	Sidon Sets in Groups and Induced Subgraphs of Cayley Graphs	1985	László Babai Vera T. Sós	3
+ PDF Chat	Commuting involution graphs for $$\tilde{A}_{n}$$	2006	Sarah B. Perkins	2
+	Some remarks on involutions in coxeter groups	1982	T. A. Springer	2
+	Permutation statistics on involutions	2005	Mark Dukes	2
+	Product-Free Subsets of Groups	1998	Kiran S. Kedlaya	2
+ PDF Chat	A New Criterion for Finite Noncyclic Groups	2006	Wei Zhou Wujie Shi Duan Ze-yong	2
+	Bruhat order of Coxeter groups and shellability	1982	Anders Björner Michelle L. Wachs	2
+	Lengths of subsets in coxeter groups	2007	Sarah B. Hart Peter Rowley	2
+ PDF Chat	THE CAMERON–ERDOS CONJECTURE	2004	Ben Green	2
+	The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1	1935	H. S. M. Coxeter	2
+	The Generating Function for the Number of Roots of a Coxeter Group	1999	Ronald de Man	2
+ PDF Chat	Transitivity of finite permutation groups on unordered sets	1965	Donald Livingstone Ascher Wagner	2
+	Minimal Length Elements in Twisted Conjugacy Classes of Finite Coxeter Groups	2000	Meinolf Geck Sungsoon Kim Götz Pfeiffer	2
+	Log‐Concave and Unimodal Sequences in Algebra, Combinatorics, and Geometry<sup>a</sup>	1989	Richard P. Stanley	2
+	Classification and Constructions of Complete Caps in Binary Spaces	2006	Mahdad Khatirinejad Petr Lisoněk	2
+	An improved method for generating the centralizer of an involution	2000	John N. Bray	2
+ PDF Chat	On the Number of Reduced Decompositions of Elements of Coxeter Groups	1984	Richard P. Stanley	2
+	On the number of product-free sets in groups of even order	2005	T. G. Petrosyan	2
+	Minimal and Maximal Length Involutions in Finite Coxeter Groups	2002	Sarah B. Perkins Peter Rowley	2
+	Lie Groups and Lie Algebras	2002	Nicolás Bourbaki	2
+	On the root system of a coxeter group	1982	Vinay V. Deodhar	2
+	Reduced words in affine Coxeter groups	1996	Kimmo Eriksson	1
+	Representations of Coxeter groups and Hecke algebras	1979	David Kazhdan G. Lusztig	1