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Y. Q. Zhao. Completion, theta-completion and the salvability of finite groups. Journal of Applied Algebra and Discrete Structures, 2003, 1(2): 87-97.

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• 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