On the exponent of mutually permutable products of two abelian groups

A. Ballester-Bolinches; John Cossey; M. C. Pedraza-Aguilera

doi:10.1016/j.jalgebra.2016.05.027

On the exponent of mutually permutable products of two abelian groups

A. Ballester-Bolinches^*, John Cossey, M. C. Pedraza-Aguilera

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	34-43
Number of pages	10
Journal	Journal of Algebra
Volume	466
DOIs	https://doi.org/10.1016/j.jalgebra.2016.05.027
Publication status	Published - 15 Nov 2016

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title = "On the exponent of mutually permutable products of two abelian groups",

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.",

keywords = "Abelian group, Exponent, Factorisations, Finite group, p-Length, p-Supersolubility",

author = "A. Ballester-Bolinches and John Cossey and Pedraza-Aguilera, {M. C.}",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2016",

month = nov,

day = "15",

doi = "10.1016/j.jalgebra.2016.05.027",

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AU - Ballester-Bolinches, A.

AU - Cossey, John

AU - Pedraza-Aguilera, M. C.

PY - 2016/11/15

Y1 - 2016/11/15

N2 - 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.

AB - 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.

KW - Abelian group

KW - Exponent

KW - Factorisations

KW - Finite group

KW - p-Length

KW - p-Supersolubility

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U2 - 10.1016/j.jalgebra.2016.05.027

DO - 10.1016/j.jalgebra.2016.05.027

M3 - Article

SN - 0021-8693

VL - 466

SP - 34

EP - 43

JO - Journal of Algebra

JF - Journal of Algebra

ER -

On the exponent of mutually permutable products of two abelian groups

Abstract

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