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
收藏
页码：2690 / 2707
页数：18
相关论文
共 50 条
  • [1] Totally imprimitive permutation groups with the cyclic-block property
    Asar, A. O.
    JOURNAL OF GROUP THEORY, 2011, 14 (01) : 127 - 141
  • [2] On imprimitive rank 3 permutation groups
    Devillers, Alice
    Giudici, Michael
    Li, Cai Heng
    Pearce, Geoffrey
    Praeger, Cheryl E.
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2011, 84 : 649 - 669
  • [3] On imprimitive rank 3 permutation groups
    Devillers, Alice
    Giudici, Michael
    Li, Cai Heng
    Pearce, Geoffrey
    Praeger, Cheryl E.
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2012, 85 : 592 - 592
  • [4] IMPRIMITIVE SOLVABLE RANK-3 PERMUTATION GROUPS
    DORNHOFF, L
    ILLINOIS JOURNAL OF MATHEMATICS, 1970, 14 (04) : 692 - +
  • [5] Imprimitive permutation groups and trapdoors in iterated block ciphers
    Paterson, Kenneth G.
    HP Laboratories Technical Report, 1999, (12 R.1):
  • [6] Imprimitive permutation groups and trapdoors in iterated block ciphers
    Paterson, KG
    FAST SOFTWARE ENCRYPTION, 1999, 1636 : 201 - 214
  • [7] IMPRIMITIVE MAXIMAL-SUBGROUPS OF FINITE ORTHOGONAL GROUPS
    KING, OH
    GEOMETRIAE DEDICATA, 1986, 21 (03) : 341 - 348
  • [8] Subgroups of finitary permutation groups
    Asar, A. O.
    JOURNAL OF GROUP THEORY, 2008, 11 (02) : 229 - 234
  • [9] CENTRALIZERS OF SUBGROUPS OF PERMUTATION GROUPS
    WELLS, CF
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 302 - &
  • [10] On orbit equivalent, two-step imprimitive permutation groups
    Seress, Akos
    Yang, Keyan
    COMPUTATIONAL GROUP THEORY AND THE THEORY OF GROUPS, 2008, 470 : 271 - 286
12345