Results 221 to 230 of about 57,676 (259)

Finite Permutation Groups and Finite Simple Groups

Bulletin of the London Mathematical Society, 1981
In the past two decades, there have been far-reaching developments in the problem of determining all finite non-abelian simple groups—so much so, that many people now believe that the solution to the problem is imminent. And now, as I correct these proofs in October 1980, the solution has just been announced.
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Groups saturated by finite simple groups

Algebra and Logic, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the ranks of finite simple groups

2016
Summary: Let \(G\) be a finite group and let \(X\) be a conjugacy class of \(G\). The \textit{rank} of \(X\) in \(G\), denoted by \(\operatorname{rank}(G:X)\) is defined to be the minimal number of elements of \(X\) generating \(G\). In this paper we review the basic results on generation of finite simple groups and we survey the recent developments on
Basheer, Ayoub, Moori, Jamshid
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Finite Simple Groups

The American Mathematical Monthly, 1977
(1977). Finite Simple Groups. The American Mathematical Monthly: Vol. 84, No. 9, pp. 693-714.
James F. Hurley, Arunas Rudvalis
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The Classification of the Finite Simple Groups

The Mathematical Intelligencer, 1980
This article on the classification of finite simple groups is directed towards a broad audience. The author poses some natural questions connected with finite groups and in particular with finite simple groups. He explains in a lucid way why these questions have particular answers.
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The periodic groups saturated by finitely many finite simple groups

Siberian Mathematical Journal, 2008
Summary: Denote by \(\mathcal M\) the set whose elements are the simple 3-dimensional unitary groups \(U_3(q)\) and the linear groups \(L_3(q)\) over finite fields. We prove that every periodic group, saturated by the groups of a finite subset of \(\mathcal M\), is finite.
Lytkina, D. V., Tukhvatullina, L. R., Filippov, K. A.   +2 more
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On Some Groups with Finite Involution Saturated with Finite Simple Groups

Mathematical Notes, 2002
By definition, a group \(G\) is saturated with finite simple subgroups if every finite subgroup of \(G\) is contained in a finite simple subgroup of \(G\). An involution \(t\in G\) is said to be finite if, for every \(g\in G\), the subgroup generated by \(t\) and \(t^g\) is finite.
Sozutov, A. I., Shlepkin, A. K.
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Finite simple groups on triple systems

Ars Mathematica Contemporanea, 2023
Summary: Let \(\mathcal{D}\) be a triple system, and let \(G\) be a finite simple group. In this paper we almost determine all possibilities of \(\mathcal{D}\) admitting \(G\) as its flag-transitive automorphism group.
Xiaoqin Zhan, Xuan Pang, Suyun Ding
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2-Signalizers of Finite Simple Groups

Algebra and Logic, 2003
Maximal 2-signalizers and centralizers of Sylow 2-subgroups in all finite simple groups are described. Also normalizers are computed for Sylow 2-subgroups in the finite simple groups of exceptional Lie type over a field of odd characteristic.
Kondrat'ev, A. S., Mazurov, V. D.
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Finite Simple Groups

2003
In a statistical sense, the simple groups (by which we mean, in this window, non-abelian finite simple groups) are quite rare: the Godfather of the subject has likened them to fossils, occasionally found buried among the composition factors of a general finite group [Thompson 1984].
Alexander Lubotzky, Dan Segal
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