Results 41 to 50 of about 202,613,988 (162)
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.
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Probabilistic generation of wreath products on non-abelian finite simple groups
, 2004 We show that the probability of generating an iterated standard wreath product of non-abelian finite simple groups is positive and tends to 1 as the order of the first simple group tends to infinity.
Quick, Martyn, Quick, Martyn; id_orcid
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Base sizes for simple groups and a conjecture of Cameron [PDF]
, 2009 Let G be a permutation group on a finite set ?. A base for G is a subset B C_ ? whose pointwise stabilizer in G is trivial; we write b(G) for the smallest size of a base for G. In this paper we prove that b(G) ?
Burness, TC +5 more
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Finite simple groups of small essential dimension [PDF]
, 2014 International audienceWe show that the only finite simple groups of essential dimension 3 (over C) are A_6 and possibly PSL(2,11). This is an easy consequence of the classification by Prokhorov of rationally connected threefolds with an action of a ...
Beauville, Arnaud, Arnaud Beauville
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Coprime invariable generation and minimal-exponent groups [PDF]
, 2015 Colva Roney-Dougal acknowledges the support of EPSRC grant EP/I03582X/1.A finite group G is coprimely invariably generated if there exists a set of generators {g1,. .,gu} of G with the property that the orders |g1|,.
Lucchini, Andrea +5 more
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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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Kimmerle conjecture for the Held and O'Nan sporadic simple groups [PDF]
, 2009 Using the Luthar--Passi method, we investigate the Zassenhaus and Kimmerle conjectures for normalized unit groups of integral group rings of the Held and O'Nan sporadic simple groups.
Bódi, Viktor +2 more
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On the Sequencing of Finite Groups [PDF]
openThis thesis explores the problem of determining which finite groups are sequenceable. After briefly reviewing the necessary background in group theory, we introduce the concept of group sequencing and examine several classes of groups, including both
MILAZZO, DAVID
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Lie-primitive subgroups of exceptional algebraic groups: Their classification so far
, 2017 I will give a brief overview of (as far as I know) the current state of the putative classification of all Lie-primitive subgroups of the exceptional algebraic groups, and its implications for the maximal subgroup structure of the finite (almost simple ...
Craven, David
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A History Of Finite Simple Groups
, 1997 A group is a set together with an associative binary operation such that there exists an identity element for the set, and an inverse for each element in the set.
Faun C. C. Doherty
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