Subgroups of totally imprimitive permutation groups

被引：1
|
作者：
Asar, A. O. [1 ]
机构：
[1] Yarg Sokak 11-6, Ankara, Turkey
来源：
COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 06期
关键词：
Cyclic-block; FC-subgroup; kernel subgroup; minimal index subgroup; minimal non-FC-subgroup; non-FC-subgroup; totally imprimitive; NON-FC-GROUPS; FINITARY PERMUTATIONS;
D O I：
10.1080/00927872.2014.952013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work the study of subgroups of totally imprimitive permutation groups is continued. Some sufficient conditions for the existence of minimal non-FC-subgroups are given. These results depend mainly on the properties of self-normalizing subgroups, which are closed in the topology of point-wise convergence. Finally, new properties of a totally imprimitive permutation p-group satisfying the cyclic-block property are given which might be a suitable example to look for minimal non-FC-subgroups.
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页码：2690 / 2707
页数：18
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