标题:
极大子群的h-完备与群的可解性On h-Completion for Maximal Subgroups and the
Solvability of Finite Groups
作者:
张晓燕, 徐伟华
关键字:
有限群, θ-完备, h-完备, 可解性Finite Group; h-Completion; Solvability
期刊名称:
《Pure Mathematics》, Vol.1 No.2, 2011-08-09
摘要:
本文给出了有限群G极大子群M h-完备的定义，即称C为M的h-完备,若C是M的θ-完备，且有C = G或存在G的一个子群D使得D不是M的θ-完备，但有C In this paper, we propose new definition of an h-completion for a maximal subgroup M of a group G, that is a θ-completion C such that either C = G or there exist a subgroup D of G which is not a θ-completion for M and C