Groups Formed by Redefining Multiplication
Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 419-423
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Let G be a group with elements 1,..., n such that the group operation agrees with ordinary multiplication whenever the ordinary product of two elements lies in G. We show that if n is odd, then G is abelian.
Chandler, K. A. Groups Formed by Redefining Multiplication. Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 419-423. doi: 10.4153/CMB-1988-061-5
@article{10_4153_CMB_1988_061_5,
author = {Chandler, K. A.},
title = {Groups {Formed} by {Redefining} {Multiplication}},
journal = {Canadian mathematical bulletin},
pages = {419--423},
year = {1988},
volume = {31},
number = {4},
doi = {10.4153/CMB-1988-061-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-061-5/}
}
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