Products of Finite Supersoluble Groups-Reference-Cited by-同舟云学术

Products of Finite Supersoluble Groups

Published:2009-06 Issue:02 Volume:16 Page:333-340
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Liu Xi¹,Guo Wenbin¹,Shum K. P.²

Affiliation:

1. Department of Mathematics, Xuzhou Normal University, Xuzhou, Jiangsu 221116, China

2. Department of Mathematics, Hong Kong University, Pokfulam Road, Hong Kong (SAR), China

Abstract

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 ∈ 〈H,T〉 such that HTx = TxH. 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386709000327

Reference15 articles.

1. On the supersolvability of finite groups

2. Classes of finite groups and their properties

3. Mutually Permutable Products of Finite Groups

4. p-supersolvability of factorized finite groups

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