On the Construction of the Finite Simple Groups with a Given Centralizer of a 2-Central Involution

Let H be a finite group having center Z(H) of even order. By the classical Brauer–Fowler theorem there can be only finitely many non-isomorphic simple groups G which contain a 2-central involution t for which CG(t)≅H. In this article we give a deterministic algorithm constructing from the given grou...

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Veröffentlicht in:Journal of algebra 2000-12, Vol.234 (2), p.668-693
1. Verfasser: Michler, Gerhard O.
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
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