On non-Frattini chief factors and solvability of finite groups
On non-Frattini chief factors and solvability of finite groups
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关于有限群的非Frattini主因数和可解性
DOI：
10.1007/s12044-012-0073-8
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发表时间：
2012-05
期刊：
影响因子：
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通讯作者：
Li, Qianlu
中科院分区：
文献类型：
--
作者：
Liu, Jianjun;Guo, Xiuyun;Li, Qianlu
群G的子群H称为G的半CAP*-子群，如果存在G的主级数1 = G 0 < G1 <Gm < Gm = G使得对于每个非Frattini主因子Gi/Gi − 1，H覆盖Gi/Gi − 1或避开Gi/Gi − 1。在本文中，一些
A subgroup H of a group G is said to be a semi CAP*-subgroup of G if there is a chief series 1 = G0 < G1 < ⋯ < Gm = G of G such that for every non-Frattini chief factor Gi/Gi − 1, H either covers Gi/Gi − 1 or avoids Gi/Gi − 1. In this paper, some sufficie