Results 11 to 20 of about 1,614,438 (324)
The depth of a finite simple group [PDF]
, 2017 We introduce the notion of the depth of a finite group $G$, defined as the minimal length of an unrefinable chain of subgroups from $G$ to the trivial subgroup. In this paper we investigate the depth of (non-abelian) finite simple groups.
Timothy C. Burness +2 more
semanticscholar +3 more sources
Finite Groups Isospectral to Simple Groups [PDF]
Communications in Mathematics and Statistics, 2021 The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum, in particular, to list all finite simple groups for which the ...
M. Grechkoseeva +4 more
semanticscholar +4 more sources
Beauville surfaces and finite simple groups [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2010 A Beauville surface is a rigid complex surface of the form (C1 x C2)/G, where C1 and C2 are non-singular, projective, higher genus curves, and G is a finite group acting freely on the product.
Alexander Lubotzky +5 more
core +5 more sources
Strong reality of finite simple groups [PDF]
Siberian Mathematical Journal, 2010 The classification of finite simple strongly real groups is complete. It is easy to see that strong reality for every nonabelian finite simple group is equivalent to the fact that each element can be written as a product of two involutions.
Gal't, A. A., Vdovin, E. P.
core +3 more sources
Infinite products of finite simple groups [PDF]
Transactions of the American Mathematical Society, 1996 We classify the sequences ⟨ S n ∣ n ∈ N ⟩ \langle S_{n} \mid n \in \mathbb {N} \rangle of finite simple nonabelian groups such that ∏ n S
Jan Saxl, Saharon Shelah, Simon Thomas
openalex +5 more sources
A Characterization of the finite simple group U4(3) [PDF]
Journal of the Australian Mathematical Society, 1969 Kok-Wee Phan
semanticscholar +2 more sources
The intersection graph of a finite simple group has diameter at most 5 [PDF]
Archiv der Mathematik, 2020 Let G be a non-abelian finite simple group. In addition, let ΔG\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
S. D. Freedman
semanticscholar +1 more source
On the uniform domination number of a finite simple group [PDF]
Transactions of the American Mathematical Society, 2017 Let $G$ be a finite simple group. By a theorem of Guralnick and Kantor, $G$ contains a conjugacy class $C$ such that for each non-identity element $x \in G$, there exists $y \in C$ with $G = \langle x,y\rangle$. Building on this deep result, we introduce
Timothy C. Burness, Scott Harper
semanticscholar +1 more source
Finite simple groups as expanders [PDF]
Proceedings of the National Academy of Sciences, 2006 We prove that there exist k ∈ ℕ and 0 < ε ∈ ℝ such that every non-abelian finite simple group G , which is not a Suzuki group, has a set of k generators for which the Cayley graph Cay( G ; S ) is an ε-expander.
Kassabov, M, Lubotzky, A, Nikolov, N
openaire +3 more sources
Oriented regular representations of out-valency two for finite simple groups [PDF]
Ars Math. Contemp., 2021 In this paper, we show that every finite simple group of order at least 5 admits an oriented regular representation of out-valency 2.
Gabriel Verret, Binzhou Xia
semanticscholar +1 more source