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What is the probability
that two elements of a finite group commute?
David Rusin |
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Vol. 82 (1979), No. 1, 237–247
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Abstract |
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We consider the probability that two elements of a finite group commute. Explicit computations are obtained for groups G with G′≦ Z(G) and G′∩Z(G) = {1}. We classify the groups for which this probability is above 11/32. |
Mathematical Subject Classification 2000
Primary: 20D99
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Milestones
Received: 17 March 1978
Revised: 11 September 1978
Published: 1 May 1979
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Authors |
| David Rusin | |
| Department of Mathematics University of Texas 1 University Station C1200 Austin TX 78712-0257 United States |
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