Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-24T14:03:55.010Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

1. Guy, Richard, ed., A group of two problems in groups Amer. Math. Monthly 92 (1986), pp. 119–121.Google Scholar
2. Ramaswami, V., On the number of positive integers less than x and free of prime divisors greater than xc Bull. Amer. Math. Soc. 55 (1949), pp. 1122–1127.Google Scholar
3. Barkley Rosser, J. and Schoenfeld, Lowell, Approximate formulas for some functions of prime numbers Illinois J. Math. 6 (1962), pp. 64–92.Google Scholar