Classifying Spaces of Subgroups of Profinite Groups

Details Classifying Spaces of Subgroups of Profinite Groups Classifying Spaces of Subgroups of Profinite Groups

2008-09-27

arxiv.org/abs/0809.4735v1

Mathematics

Group Theory

Scientific paper

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.

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