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非极大子群为(2,2')-闭的有限群
引用本文:付诗禄.非极大子群为(2,2')-闭的有限群[J].西南师范大学学报(自然科学版),1994(3).
作者姓名:付诗禄
作者单位:西南师范大学数学系
摘    要:若群Ge有正规的2-Sylow子群或有正规2-补,则称G为(2,2')-闭群。本文首先分类了内-(2,2')-闭群,再对每个非极大偶阶真子群为(2,2')-闭的不可解群进行了分类。

关 键 词:单群  分类定理  AB-群  (2,2')-闭群

FINITE GROUP WITH EVERY NON-MAXIMAL PROPER SUBGROUP OF(2,2')-CLOSED
Fu Shilu.FINITE GROUP WITH EVERY NON-MAXIMAL PROPER SUBGROUP OF(2,2'''')-CLOSED[J].Journal of Southwest China Normal University(Natural Science),1994(3).
Authors:Fu Shilu
Abstract:Let G be a finite group, if G has a normal Sylow 2-subgrpup or normal 2-complement,then G is called(2,2')-clcoed group.The finite inner-(2,2')-closed groups were classified and this class of finite groups with every non-maximal proper subgroup of even order of(2,2')-closed were also classified.
Keywords:simple group  classification theorem  AB-group  (2  2')-closed group
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