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On the exponent of mutually permutable products of two abelian groups

Ballester-Bolinches, Adolfo; Cossey, John; Pedraza-Aguilera, M.C.


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.

CollectionsANU Research Publications
Date published: 2016-11-15
Type: Journal article
Source: Journal of Algebra
DOI: 10.1016/j.jalgebra.2016.05.027
Access Rights: Open Access


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