On commuting probabilities in finite groups and rings

  • Martin Juras
  • Mihail Ursul
Keywords: Finite group, Finite ring, Commuting probability, Annihilating probability, Nilpotent group, Nilpotent ring

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 $\leq 2$. These two sets are equal when restricted to groups and rings with odd number of elements.

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Published
2022-01-13
Section
Articles