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Document Type

Article

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

Comments

Published by Taylor & Francis, Ltd. on behalf of the Mathematical Association of America.

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?

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