On commuting probabilities in finite groups and rings

Autor:	Juráš, Martin, Ursul, Mihail
Rok vydání:	2020
Předmět:	Mathematics - Rings and Algebras Primary: 16U80 Secondary: 05C25 20P05 16N40 20D15
Druh dokumentu:	Working Paper
Popis:	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 $\le2$. We believe that these two sets are equal; we prove they are equal, when restricted to groups and rings with odd number of elements. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2010.01188 Zobrazit plný text záznamu View this record from Arxiv