2010
DOI: 10.1016/j.jalgebra.2009.09.037
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An identification of the Monster group

Abstract: We identify the Monster from two of its 3-local subgroups.

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Cited by 7 publications
(4 citation statements)
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“…Proof. By Salarian's theorem [Sa,Theorem 1.1], to show that G ∼ = Co 1 , it suffices to find subgroups H 1 , H 2 ≥ S ∈ Syl 3 (G) that satisfy the following three conditions:…”
Section: Some 3-local Characterizations Of the Conway Groupsmentioning
confidence: 99%
“…Proof. By Salarian's theorem [Sa,Theorem 1.1], to show that G ∼ = Co 1 , it suffices to find subgroups H 1 , H 2 ≥ S ∈ Syl 3 (G) that satisfy the following three conditions:…”
Section: Some 3-local Characterizations Of the Conway Groupsmentioning
confidence: 99%
“…[Sh14]). Applying the characterization of M of [SS10] as a finite group containing certain 3-local subgroups, we prove that the full automorphism group of V ♯ is isomorphic to the Monster simple group M.…”
Section: τmentioning
confidence: 99%
“…Recently there has been a resurgence of interest and activity in 3-local characterizations of finite simple groups partly prompted by the revision project concerning groups of local characteristic p (see, for example, [19]). The sporadic simple groups studied in this renaissance period are Co 3 (Korchagina, Parker and Rowley [16]), Fi 22 (Parker [21]), McL (Parker and Rowley [26]), M 12 (Astill and Parker [3]), Th (Fowler [9]), and Co 1 , Fi 24 , (Salarian [29,30]) and M (Salarian and Stroth [31]). …”
Section: (Ii)(c)]mentioning
confidence: 99%