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SOME SOLUBILITY CRITERIA IN FACTORISED GROUPS

Part of: Representation theory of groups

Published online by Cambridge University Press:  02 February 2012

M. ASAAD ,
A. BALLESTER-BOLINCHES  and
R. ESTEBAN-ROMERO
M. ASAAD
Affiliation:
Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt (email: [email protected])
A. BALLESTER-BOLINCHES*
Affiliation:
Departament d’Àlgebra, Universitat de València, Dr. Moliner 50, 46100 Burjassot, València, Spain (email: [email protected])
R. ESTEBAN-ROMERO
Affiliation:
Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Camí de Vera s/n, 46022 València, Spain (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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In this paper, solubility of groups factorised as a product of two subgroups which are connected by certain permutability properties is studied.

Keywords

factorised groupmutually m-permutable productsoluble group

MSC classification

Secondary: 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 86 , Issue 1 , August 2012 , pp. 22 - 28
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

Footnotes

The research of the second and the third authors has been supported by the grant MTM2010-19938-C03-01 from the Ministerio de Ciencia e Innovación (Spanish government).

References

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