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math.GR2008
Classifying Spaces of Subgroups of Profinite Groups
Paul Gartside, Michael Smith
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 p…
math.GR2008★ 1 cited
Counting the Closed Subgroups of Profinite Groups
Paul Gartside, Michael Smith
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…