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Glasgow Mathematical Journal (1)

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THE NON-ABELIAN TENSOR PRODUCT OF FINITE GROUPS IS FINITE: A HOMOLOGY-FREE PROOF
VIJI Z. THOMAS
Journal:

Glasgow Mathematical Journal / Volume 52 / Issue 3 / September 2010

Published online by Cambridge University Press:

25 August 2010, pp. 473-477

Print publication:

September 2010
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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.