2020
DOI: 10.48550/arxiv.2010.01188
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On commuting probabilities in finite groups and rings

Abstract: We show that the set of all commuting probabilities in finite rings is a subset of the set of all commuting probabilities in finite nilpotent groups of class ≤ 2. We believe that these two sets are equal; we prove they are equal, when restricted to groups and rings with odd number of elements.

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