Counting the Closed Subgroups of Profinite Groups
Group Theory
2008-09-30 v1 General Topology
Abstract
The sets of closed and closed-normal subgroups of a profinite group carry a natural profinite topology. Through a combination of algebraic and topological methods the size of these subgroup spaces is calculated, and the spaces partially classified up to homeomorphism.
Cite
@article{arxiv.0809.4734,
title = {Counting the Closed Subgroups of Profinite Groups},
author = {Paul Gartside and Michael Smith},
journal= {arXiv preprint arXiv:0809.4734},
year = {2008}
}