Mathematics, Department of
Date of this Version
1992
Citation
From: The American Mathematical Monthly, Vol. 99, No. 5 (May, 1992), pp. 446-452. doi 10.1080/00029890.1992.11995873
Abstract
What's the probability that two elements in a finite group commute? A formal answer,
Pr2(G) = {(x, y) [element of] G2 |xy = yx}| / |G|2
begs our next question. How many ordered pairs of elements of a finite group commute?
Comments
Published by Taylor & Francis, Ltd. on behalf of the Mathematical Association of America.