THE NON-ABELIAN TENSOR PRODUCT OF FINITE GROUPS IS FINITE: A HOMOLOGY-FREE PROOF
Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 473-477
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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.
THOMAS, VIJI Z. THE NON-ABELIAN TENSOR PRODUCT OF FINITE GROUPS IS FINITE: A HOMOLOGY-FREE PROOF. Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 473-477. doi: 10.1017/S0017089510000352
@article{10_1017_S0017089510000352,
author = {THOMAS, VIJI Z.},
title = {THE {NON-ABELIAN} {TENSOR} {PRODUCT} {OF} {FINITE} {GROUPS} {IS} {FINITE:} {A} {HOMOLOGY-FREE} {PROOF}},
journal = {Glasgow mathematical journal},
pages = {473--477},
year = {2010},
volume = {52},
number = {3},
doi = {10.1017/S0017089510000352},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000352/}
}
TY - JOUR AU - THOMAS, VIJI Z. TI - THE NON-ABELIAN TENSOR PRODUCT OF FINITE GROUPS IS FINITE: A HOMOLOGY-FREE PROOF JO - Glasgow mathematical journal PY - 2010 SP - 473 EP - 477 VL - 52 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000352/ DO - 10.1017/S0017089510000352 ID - 10_1017_S0017089510000352 ER -
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