On free profinite subgroups of free profinite monoids

Details On free profinite subgroups of free profinite monoids On free profinite subgroups of free profinite monoids

2007-12-13

arxiv.org/abs/0712.2254v1

Mathematics

Group Theory

Scientific paper

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 $\mathbf H$ is variety of finite groups closed under extension and containing $\mathbb Z/p\mathbb Z$ for infinitely may primes $p$, the corresponding result holds for free pro-$\bar{\mathbf H}$ monoids.

Affiliated with

Also associated with

No associations

Rating

On free profinite subgroups of free profinite monoids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On free profinite subgroups of free profinite monoids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On free profinite subgroups of free profinite monoids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-661704