Commutators and commutator subgroups in profinite groups
Group Theory
2016-11-08 v3
Abstract
Let be a profinite group. We prove that the commutator subgroup is finite-by-procyclic if and only if the set of all commutators of is contained in a union of countably many procyclic subgroups.
Cite
@article{arxiv.1408.5034,
title = {Commutators and commutator subgroups in profinite groups},
author = {Cristina Acciarri and Pavel Shumyatsky},
journal= {arXiv preprint arXiv:1408.5034},
year = {2016}
}
Comments
19 pages, final version