On free profinite subgroups of free profinite monoids
Group Theory
2007-12-17 v1
Abstract
We answer a question of Margolis from 1997 by establishing that the maximal subgroup of the minimal ideal of a finitely generated free profinite monoid is a free profinite group. More generally if is variety of finite groups closed under extension and containing for infinitely may primes , the corresponding result holds for free pro- monoids.
Keywords
Cite
@article{arxiv.0712.2254,
title = {On free profinite subgroups of free profinite monoids},
author = {Benjamin Steinberg},
journal= {arXiv preprint arXiv:0712.2254},
year = {2007}
}