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arXiv · 2210.15746

On groups that can be covered by conjugates of finitely many cyclic or procyclic subgroups

Yiftach Barnea·Rachel Camina·Mikhail Ershov·Mark L. Lewis
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Abstract

Given a discrete (resp. profinite) group $G$, we define $NCC(G)$ to be the smallest number of cyclic (resp. procyclic) subgroups of $G$ whose conjugates cover $G$. In this paper we determine all residually finite discrete groups with finite NCC and give an almost complete characterization of profinite groups with finite NCC.

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Yiftach Barnea, Rachel Camina, Mikhail Ershov, Mark L. Lewis. 2022-10-27. On groups that can be covered by conjugates of finitely many cyclic or procyclic subgroups. https://arxiv.org/abs/2210.15746

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