A test for conjugacy of partitions of finite sets |
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Authors: | Chong-Yun Chao |
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Affiliation: | Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 USA |
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Abstract: | In this note we present a simple test, involving a sequence of integers, which assures the conjugacy of a given partition P of a finite set S when our operations lead only to nonnegative integers. If negative integers appear in our operations, our test is inconclusive. The test, when conclusive, and an elementary property of permutations determine a conjugate for P. |
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