On Φ-τ-Supplement Subgroups of Finite Groups

被引：1

作者：

Xiaojian MA ^{[1
]}

Yuemei MAO ^{[1
,2
]}

机构：

[1] School of Mathematics and Computer, University of Datong of Shanxi

[2] School of Mathematical Sciences, University of Science and Technology of China

来源：

Journal of Mathematical Research with Applications | 2017年 / 37卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Sylow subgroups; subnormal subgroups; subgroup functor; p-nilpotent group; Φ-τ-supplement;

D O I：

暂无

中图分类号：

O152.1 [有限群论];

学科分类号：

070104 ;

摘要：

Let τ be a subgroup functor and H a p-subgroup of a finite group G. Let G= G/Hand H= H/H. We say that H is Φ-τ-supplement in G if G has a subnormal subgroup T and a τ-subgroup S contained in H such that G=H T and H∩T≤SΦ(H). In this paper,some new characterizations of hypercyclically embedability and p-nilpotency of a finite group are obtained based on the assumption that some primary subgroups are Φ-τ-supplement in G.

引用

页码：281 / 289

页数：9

共 50 条

[21] On minimal subgroups of finite groups
Asaad, M
MATHEMATICS AND THE 21ST CENTURY, 2001, : 153 - 158
[22] On permuteral subgroups in finite groups
Vasil'ev, A. F.
Vasil'ev, V. A.
Vasil'eva, T. I.
SIBERIAN MATHEMATICAL JOURNAL, 2014, 55 (02) : 230 - 238
[23] SUBGROUPS OF FINITE ALGEBRAIC GROUPS
OBERST, U
SCHNEIDE.HJ
MANUSCRIPTA MATHEMATICA, 1973, 8 (03) : 217 - 241
[24] On σ-Subnormal Subgroups of Finite Groups
S. F. Kamornikov
V. N. Tyutyanov
Siberian Mathematical Journal, 2020, 61 : 266 - 270
[25] On -quasinormal subgroups of finite groups
Guo, Wenbin
Skiba, Alexander N.
MONATSHEFTE FUR MATHEMATIK, 2018, 185 (03): : 443 - 453
[26] Isolated subgroups in finite groups
Meierfrankenfeld, Ulrich
Parker, Christopher
Rowley, Peter
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2009, 79 : 107 - 128
[27] A GRAPH OF SUBGROUPS OF FINITE GROUPS
CSAKANY, B
POLLAK, G
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1969, 19 (02) : 241 - &
[28] τ-primitive subgroups of finite groups
Nanying Yang
Wenbin Guo
Siberian Mathematical Journal, 2009, 50 : 560 - 566
[29] Finite subgroups of hyperbolic groups
Brady, N
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2000, 10 (04) : 399 - 405
[30] On ICs̅-subgroups of finite groups
Zheng, Huajie
Xu, Yong
Italian Journal of Pure and Applied Mathematics, 2024, (52): : 47 - 58

← 1 2 3 4 5 →