On the non-abelian tensor product of groups

Mohammad Reza R. Moghaddam; Fateme Mirzaei; Z. Arad

doi:10.1142/s1005386711000319

On the non-abelian tensor product of groups

Mohammad Reza R. Moghaddam
, Fateme Mirzaei
, Z. Arad

Department of Mathematics

Ferdowsi University of Mashhad
Khayyam Institute of Higher Education

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

Abstract

In this paper, we study some properties of the non-abelian tensor product of two groups G and H. More precisely, if G is abelian and H is a nilpotent group, then an upper bound for the exponent of G ⊗ H is obtained. Using our results, we obtain some upper bounds for the exponent of the Schur multiplier of the non-abelian tensor product of groups. Finally, an abelian group is constructed by taking non-abelian tensor product of groups.

Original language	English
Pages (from-to)	429-436
Number of pages	8
Journal	Algebra Colloquium
Volume	18
Issue number	3
DOIs	https://doi.org/10.1142/s1005386711000319
State	Published - Sep 2011

Keywords

Non-abelian tensor product
Schur multiplier
nilpotent groups
soluble groups
tensor square

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KW - Non-abelian tensor product

KW - Schur multiplier

KW - nilpotent groups

KW - soluble groups

KW - tensor square

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On the non-abelian tensor product of groups

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