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THE NON-ABELIAN TENSOR PRODUCT OF FINITE GROUPS IS FINITE: A HOMOLOGY-FREE PROOF

Published online by Cambridge University Press:  25 August 2010

VIJI Z. THOMAS
VIJI Z. THOMAS*
Affiliation:
Department of Mathematical Sciences, State University of New York at Binghamton, Binghamton, NY 13902-6000, USA e-mail: vthomas@math.binghamton.edu
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Abstract

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In this note, we give a homology-free proof that the non-abelian tensor product of two finite groups is finite. In addition, we provide an explicit proof that the non-abelian tensor product of two finite p-groups is a finite p-group.

Keywords

Primary 20F24Secondary 20J9920F99
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 3 , September 2010 , pp. 473 - 477
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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