d-WISE GENERATION OF SOME INFINITE GROUPS

Andrea Lucchini, Attila Maróti, Darren Semmen

Type: Article

Publication Date: 2008-12-01

Citations: 1

DOI: https://doi.org/10.1142/s0219498808003053

Abstract

What is the largest possible size of a subset of SL(n,ℤ) from which every pair of elements will be a generating set? We prove a general result on generation probabilities in profinite groups that suggests the cardinality of a maximal such subset equals that of the analogous subset of SL(n, ℤ/2ℤ).

Locations

Journal of Algebra and Its Applications - View
CiteSeer X (The Pennsylvania State University) - View - PDF

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Works That Cite This (1)

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+ PDF Chat	Some results and questions related to the generating graph of a finite group	2009	Andrea Lucchini Attila Maróti

Works Cited by This (7)

Action	Title	Year	Authors
+ PDF Chat	Sous-groupes d'indice fini dans $SL\left( {n,Z} \right)$	1964	Hyman Bass Michel Lazard J-P. Serre
+	Simple groups, maximal subgroups, and probabilistic aspects of profinite groups	1996	Avinoam Mann Aner Shalev
+	Sets of elements that pairwise generate a linear group	2007	John R. Britnell Anton Evseev Robert M. Guralnick P.E. Holmes Attila Maróti
+	Positively finitely generated groups	1996	Avinoam Mann
+	Sets of permutations that generate the symmetric group pairwise	2006	Simon R. Blackburn⋆
+	Finite Factor Groups of the Unimodular Group	1965	J. L. Mennicke
+	Sous-groupes d’indice fini dans SL(n,Z)	2003	Jean-Pierre Serre