On some probabilistic aspects of (generalized) dicyclic groups

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 nd explicit formulas for these quantities and we provide another example of a class of groups whose (cyclic) subgroup commutativity degree vanishes asymptotically.

Key words: Subgroup commutativity degree, subgroup lattice, cyclic subgroup commutativity degree, poset of cyclic subgroups.