Results 31 to 40 of about 10,924,025 (294)
ON THE GENERATING GRAPH OF A SIMPLE GROUP [PDF]
Journal of the Australian Mathematical Society, 2016 The generating graph $\unicode[STIX]{x1D6E4}(H)$ of a finite group $H$ is the graph defined on the elements of $H$, with an edge between two vertices if and only if they generate $H$. We show that if $H$ is a sufficiently large simple group with $\unicode[STIX]{x1D6E4}(G)\cong \unicode[STIX]{x1D6E4}(H)$ for a finite group $G$, then $G\cong H$.
LUCCHINI, ANDREA +2 more
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On Huppert's conjecture for F_4(2) [PDF]
International Journal of Group Theory, 2012 Let $G$ be a finite group and let $text{cd}(G)$ be the set of all complex irreducible character degrees of $G$. B. Huppert conjectured that if $H$ is a finite nonabelian simple group such that $text{cd}(G) =text{cd}(H)$, then $Gcong H times A$, where $A$
Hung P Tong-Viet, Thomas P Wakefield
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Groups with a Strongly Embedded Subgroup Saturated with Finite Simple Non-abelian Groups
Известия Иркутского государственного университета: Серия "Математика", 2020 An important concept in the theory of finite groups is the concept of a strongly embedded subgroup. The fundamental result on the structure of finite groups with a strongly embedded subgroup belongs to M. Suzuki.
A.A. Shlepkin
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Relatively hyperbolic groups are C*-simple
, 2006 We characterize relatively hyperbolic groups whose reduced C*-algebra is simple as those, which have no non-trivial finite normal ...
Arzhantseva, G. +5 more
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On the Fundamental Group of a Simple Lie Group [PDF]
Nagoya Mathematical Journal, 1970 Let G be a simply connected simple Lie group and C the center of G, which is isomorphic with the fundamental group of the adjoint group of G. For an element c of C, an element x of the Lie algebra g of G is called a representative of c in g if exp x = c.
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The probability of generating a finite simple group [PDF]
, 2013 We study the probability of generating a finite simple group, together with its generalisation PG,socG(d), the conditional probability of generating an almost simple finite group G by d elements, given that these elements generate G/ socG.
Colva M. Roney-Dougal +7 more
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All simple groups with order from 1 million to 5 million are efficient [PDF]
International Journal of Group Theory, 2014 There is much interest in finding short presentations for the finite simple groups. Indeed it has been suggested that all these groups are efficient in a technical sense.
Edmund F. Robertson +3 more
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Finite simple groups as expanders. [PDF]
Proc Natl Acad Sci U S A, 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
Kassabov M, Lubotzky A, Nikolov N.
europepmc +5 more sources
Odd characterizations of almost simple groups - 3-local and character theoretic methods [PDF]
, 2010 In this PhD thesis we discuss methods of recognizing finite groups by the structure of normalizers of certain 3-subgroups. We explain a method for characterizing groups using character theoretic and block theoretic methods and we use these methods to ...
Astill, Sarah
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Centralizers in simple locally finite groups [PDF]
International Journal of Group Theory, 2013 This is a survey article on centralizers of finitesubgroups in locally finite, simple groups or LFS-groups as wewill call them. We mention some of the open problems aboutcentralizers of subgroups in LFS-groups and applications of theknown information ...
Mahmut Kuzucuoğlu
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