Results 11 to 20 of about 14,823 (235)
The Shape of the Classification of the Finite Simple Groups [PDF]
Advanced Studies in Pure Mathematics, 2018 This is a general survey of the Classification of the Finite Simple Groups with particular emphasis on the current project of Gorenstein, Lyons and Solomon (GLS) directed towards the revision of a substantial segment of the Classification proof.
R. Solomon
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Book Review: Finite simple groups, an introduction to their classification [PDF]
Bulletin of the American Mathematical Society, 1983 W. Feit
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Journal of Combinatorial Theory, Series A, 1984 The authors supply a proof, based on the Classification Theorem for finite simple groups, that a Steiner triple system whose automorphism is doubly transitive on points is a projective geometry over GF(2) or an affine geometry over GF(3). This was a conjecture of \textit{M. Hall jun.} [Proc. Symp. Pure Math. 6, 47-66 (1962; Zbl 0114.012)].
Jennifer D. Key, Ernest E. Shult
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CLASSIFICATION OF TETRAVALENT -TRANSITIVE NONNORMAL CAYLEY GRAPHS OF FINITE SIMPLE GROUPS [PDF]
Bulletin of the Australian Mathematical Society, 2021 AbstractA graph $\Gamma $ is called $(G, s)$ -arc-transitive if $G \le \text{Aut} (\Gamma )$ is transitive on the set of vertices of $\Gamma $ and the set of s-arcs of $\Gamma $ , where for an integer $s \ge 1$ an s-arc of $\Gamma $ is a sequence of $s+1$ vertices $(v_0,v_1,\ldots ,v_s)$ of $\Gamma $ such that $v_{i-1 ...
XIN GUI FANG, JIE WANG, SANMING ZHOU
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The classification problem for simple unital finite rank dimension groups [PDF]
Israel Journal of Mathematics, 2018 32 pages.
P.J. Ellis
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Dixon's asymptotic without the classification of finite simple groups [PDF]
Random Structures & Algorithms, 2023 AbstractWithout using the classification of finite simple groups (CFSG), we show that the probability that two random elements of generate a primitive group smaller than is at most . As a corollary we get Dixon's asymptotic expansion for the probability that two random elements of (or ) generate a subgroup containing .
Sean Eberhard
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Commentary on “A brief history of the classification of the finite simple groups” by Ronald Solomon [PDF]
Bulletin of the American Mathematical Society, 2018 Immediately following the commentary below, the previously published article is reprinted in its entirety: Ronald Solomon, “A brief history of the classification of the finite simple groups”, Bull. Amer. Math. Soc. (N.S) 38 (2001), no. 3, 315–352.
Robert M. Guralnick
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The classification of local m-GCI-group on finite nonabelian simple groups
, 2019 Li and Praeger classified finite nonabelian simple groups, it has only one or two fusion classes of any certain value. As a by-product, they classified m-CI-groups, which is critical in the research of Cayley graphs. In the paper, we will consider generalized Cayley graphs. This concept is proposed by Marusic et al.
Zhu, Xiao-Min, Yang, Xu
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Book Review: The classification of the finite simple groups [PDF]
Bulletin of the American Mathematical Society, 1995 Michael Aschbacher
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