Products of Finite Supersoluble Groups

被引：6

作者：

Liu, Xi ^{[1
]}

Guo, Wenbin ^{[1
]}

Shum, K. P. ^{[2
]}

机构：

[1] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China

[2] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2009年 / 16卷 / 02期

关键词：

finite group; supersoluble group; completely c-permutable subgroup; SUBGROUPS;

D O I：

10.1142/S1005386709000327

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H and T be subgroups of a finite group G. We say that H is completely c-permutable with T in G if there exists an element x is an element of < H, T > such that HTx = T-x H. In this paper, we use this concept to determine the supersolubility of a group G = AB, where A and B are supersoluble subgroups of G. Some criterions of supersolubility of such groups are obtained and some known results are generalized.

引用

页码：333 / 340

页数：8

共 15 条

[1] ON THE SUPERSOLVABILITY OF FINITE-GROUPS [J].

ASAAD, M ;

SHAALAN, A .

ARCHIV DER MATHEMATIK, 1989, 53 (04) :318-326

[2]

Baer R, 1957, Illinois J. Math, V1, P115

[3] Mutually permutable products of finite groups [J].

Ballester-Bolinches, A ;

Pérez-Ramos, MD ;

Pedraza-Aguilera, MC .

JOURNAL OF ALGEBRA, 1999, 213 (01) :369-377

[4]

CAROCCA A, 1992, HOKKAIDO MATH J, V21, P395

[5]

Cunihin S.A., 1930, CR HEBD ACAD SCI, V191, P397

[6] PRODUCTS OF NORMAL SUPERSOLVABLE SUBGROUPS [J].

FRIESEN, DK .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 30 (01) :46-&

[7]

GUO W, 2005, SE ASIAN B MATH, V29, P493

[8]

Guo WB, 2006, PUBL MATH-DEBRECEN, V68, P433

[9]

Guo WB, 2000, THEORY CLASSES GROUP

[10] Schur-Zassenhaus theorem for X-permutable subgroups [J].

Guo, Wenbin ;

Shum, K. P. ;

Skiba, Alexander N. .

ALGEBRA COLLOQUIUM, 2008, 15 (02) :185-192

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