Research Article

On some probabilistic aspects of (generalized) dicyclic groups

Published in: Quaestiones Mathematicae
Volume 44 , issue 1 , 2021 , pages: 129–146

DOI: 10.2989/16073606.2019.1673498

Author(s): Mihai-Silviu Lazorec , Romania , Marius Tărnăuceanu , Romania

Keywords: Primary: 20D60 , 20P05 , Secondary: 20D30 , 20F16 , 20F18 , Primary: 20D60 , 20P05 , Secondary: 20D30 , 20F16 , 20F18

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Abstract

In this paper we study probabilistic aspects, such as the subgroup commutativity degree and the cyclic subgroup commutativity degree, of (generalized) dicyclic groups. We find explicit formulas for these quantities and we provide another example of a class of groups whose (cyclic) subgroup commutativity degree vanishes asymptotically.

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