An identification theorem for the sporadic simple groups \(F_2\) and \(M(23)\). (Q2865894)
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scientific article; zbMATH DE number 6237579
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An identification theorem for the sporadic simple groups \(F_2\) and \(M(23)\). |
scientific article; zbMATH DE number 6237579 |
Statements
11 December 2013
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finite simple groups
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identification of simple groups
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sporadic groups
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classification
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centralizers of elements of order 3
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Fischer group \(Fi_{23}\)
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Baby Monster
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An identification theorem for the sporadic simple groups \(F_2\) and \(M(23)\). (English)
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The authors provide a characterization of the sporadic simple groups \(M(23)\) and \(F_2\) from the approximate structure of the centralizer of an element of order 3 and certain fusion data for this element. This study is motivated by describing certain configurations which appear when classifying the finite simple groups. The papers of the authors [J. Algebra 323, No. 3, 601-621 (2010; Zbl 1206.20017); J. Aust. Math. Soc. 93, No. 3, 277-310 (2012; Zbl 1281.20014)] are relevant to this article. The results of the article have immediate application in the preprint of the authors [``Groups which are almost groups of Lie type in characteristic \(p\)'' (2011)].
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