Classifying Spaces of Subgroups of Profinite Groups
Group Theory
2008-09-30 v1 General Topology
Abstract
The set of all closed subgroups of a profinite carries a natural profinite topology. This space of subgroups can be classified up to homeomorphism in many cases, and tight bounds placed on its complexity as expressed by its scattered height.
Cite
@article{arxiv.0809.4735,
title = {Classifying Spaces of Subgroups of Profinite Groups},
author = {Paul Gartside and Michael Smith},
journal= {arXiv preprint arXiv:0809.4735},
year = {2008}
}