A. S. Kondrat'ev, V. D. Mazurov, “2-Signalizers of Finite Simple Groups”, Algebra Logika, 2003, Volume 42, Number 5,Pages <nobr>594

This article is cited in 32 papers

2-Signalizers of Finite Simple Groups

A. S. Kondrat'ev^a, V. D. Mazurov^b

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: Maximal 2-signalizers and centralizers of Sylow 2-subgroups in all finite simple groups are described. Also normalizers are computed for Sylow 2-subgroups in the finite simple groups of exceptional Lie type over a field of odd characteristic.

Keywords: finite simple group, finite simple group of exceptional Lie type over a field of odd characteristic, Sylow 2-subgroup, maximal 2-signalizer, centralizer, normalizer.

UDC: 512.542

Received: 08.08.2001
Revised: 17.11.2002