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Groups Formed by Redefining Multiplication

Published online by Cambridge University Press:  20 November 2018

K. A. Chandler
K. A. Chandler*
Affiliation:
University of British Columbia, VancouverB.C. V6T 1Y4
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Abstract

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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.

Keywords

20F0510H15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 4 , 01 December 1988 , pp. 419 - 423
Copyright
Copyright © Canadian Mathematical Society 1988

References

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