有限单群O_(2n)^-(2)(4≤n≤6)的一个特征性质

A Characteristic of the Finite Simple Group O_(2n)^- (2)(4≤n≤6)

设G为有限群 ,H为下述单群之一 :O-8(2 ) ,O-1 0 (2 ) ,O-1 2 (2 ) .在这篇文章中 ,证明了G H当且仅当对每个质数r,它们有相同的Sylowr-正规化子的阶 .

Let G be a finite group and H one of the following groups: O - 8(2),O - 10 (2),O - 12 (2). in this paper, the author proved that G H if and only if they have the same order of Sylow r- normalizer for every prime r.