On Recognition of the Finite Simple Orthogonal Groups of Dimension 2^m, 2^m+1, and 2^m+2 over a Field of Characteristic 2

Author: Vasil'ev A. V.   Grechkoseeva M. A.  

Publisher: Springer Publishing Company

ISSN: 0037-4466

Source: Siberian Mathematical Journal, Vol.45, Iss.3, 2004-05, pp. : 420-432

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Abstract

The spectrum ω(g) of a finite group G is the set of element orders of G. A finite group G is said to be recognizable by spectrum (briefly, recognizable) if HG for every finite group H such that ω(H)=ω(G). We give two series, infinite by dimension, of finite simple classical groups recognizable by spectrum.