SUBGROUPS OF FINITE GROUPS WITH A STRONG COVER-AVOIDANCE PROPERTY
SUBGROUPS OF FINITE GROUPS WITH A STRONG COVER-AVOIDANCE PROPERTY
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DOI：
10.1017/s0004972709000100
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发表时间：
2009-06
影响因子：
0.7
通讯作者：
A. Ballester-Bolinches;L. M. Ezquerro;A. Skiba
中科院分区：
文献类型：
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作者：
A. Ballester-Bolinches;L. M. Ezquerro;A. Skiba
群G的一个子群A在G中具有强覆盖-回避性质，或者A是G的一个强CAP-子群，如果A覆盖或回避G的每个包含A的子群的每个主因子.本文的主要目的是分析一些相关子群族成员的强覆盖和回避性质对群结构的影响。
A subgroup A of a group G has the strong cover-avoidance property in G , or A is a strong CAP-subgroup of G , if A either covers or avoids every chief factor of every subgroup of G containing A . The main aim of the present paper is to analyse the impact of the strong cover and avoidance property of the members of some relevant families of subgroups on the structure of a group.