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arXiv · 1712.06692

Probabilistic aspects of ZM-groups

Mihai-Silviu Lazorec
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Abstract

In this paper we study probabilistic aspects such as (cyclic) subgroup commutativity degree and (cyclic) factorization number of ZM-groups. We show that these quantities can be computed using the sizes of the conjugacy classes of these groups. In the end, we point out a class of groups whose (cyclic) subgroup commutativity degree vanishes asymptotically.

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Mihai-Silviu Lazorec. 2017-12-18. Probabilistic aspects of ZM-groups. https://arxiv.org/abs/1712.06692

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