Work

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

Year: 2025

Type: article

Abstract: Given a discrete (resp. profinite) group G, we define $$\textrm{NCC}(G)$$ 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.

Source: Mathematische Annalen

DOI: 10.1007/s00208-025-03119-4

Authors: Yiftach Barnea, Rachel Camina, Mikhail Ershov, Mark L. Lewis

Institutions: Royal Holloway University of London, University of Cambridge, University of Virginia, Kent State University

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: London Mathematical Society