Profinite groups with pronilpotent centralizers
Group Theory
2018-09-13 v1
Abstract
The article deals with profinite groups in which the centralizers are pronilpotent (CN-groups). It is shown that such groups are virtually pronilpotent. More precisely, let G be a profinite CN-group, and let F be the maximal normal pronilpotent subgroup of G. It is shown that F is open and the structure of the finite quotient G/F is described in detail.
Cite
@article{arxiv.1809.04462,
title = {Profinite groups with pronilpotent centralizers},
author = {Pavel Shumyatsky},
journal= {arXiv preprint arXiv:1809.04462},
year = {2018}
}