On the exponent of mutually permutable products of two abelian groups
Date
2016-11-15
Authors
Ballester-Bolinches, Adolfo
Cossey, John
Pedraza-Aguilera, M.C.
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
In this paper we obtain some bounds for the exponent of a
finite group, and its derived subgroup, which is a mutually
permutable product of two abelian subgroups. They improve
the ones known for products of finite abelian groups, and they
are used to derive some interesting structural properties of
such products.
Description
Keywords
Finite group, Abelian group, Exponent, Factorisations, p-Supersolubility, p-Length
Citation
Collections
Source
Journal of Algebra
Type
Journal article
Book Title
Entity type
Access Statement
Open Access