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.

引用

页码：2690 / 2707

页数：18

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