Finite groups in which all subgroups of non-prime-power order are TI-subgroups

被引：2

作者：

Shi, Jiangtao ^{[1
]}

机构：

[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2018年 / 29卷 / 05期

关键词：

Finite group; Subgroups of non-prime-power order; TI-subgroups; Frobenius groups;

D O I：

10.1016/j.indag.2018.05.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup of a finite group is called an NPPO-subgroup if it has non-prime-power order. In this paper the finite groups in which all NPPO-subgroups are TI-subgroups, will be classified. (C) 2018 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：1210 / 1213

页数：4

共 6 条

[1] Finite groups whose abelian subgroups are TI-subgroups
Guo, Xiuyun
Li, Shirong
Flavell, Paul
[J]. JOURNAL OF ALGEBRA, 2007, 307 (02) : 565 - 569
[2] FINITE GROUPS WITH SOME NON-CYCLIC SUBGROUPS HAVING SMALL INDICES IN THEIR NORMALIZERS
Kutnar, Klavdija
Marusic, Dragan
Shi, Jiangtao
Zhang, Cui
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (04)
[3] Robinson D., 1996, GRADUATE TEXTS MATH
[4] FINITE GROUPS IN WHICH SOME PARTICULAR SUBGROUPS ARE TI-SUBGROUPS
Shi, Jiangtao
Zhang, Cui
[J]. MISKOLC MATHEMATICAL NOTES, 2013, 14 (03) : 1037 - 1040
[5] A Note on TI-Subgroups of a Finite Group
Shi, Jiangtao
Zhang, Cui
[J]. ALGEBRA COLLOQUIUM, 2014, 21 (02) : 343 - 346
[6] TRIVIAL INTERSECTION GROUPS
WALLS, G
[J]. ARCHIV DER MATHEMATIK, 1979, 32 (01) : 1 - 4

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