Counting the Closed Subgroups of Profinite Groups

Details Counting the Closed Subgroups of Profinite Groups Counting the Closed Subgroups of Profinite Groups

2008-09-27

arxiv.org/abs/0809.4734v1

Mathematics

Group Theory

Scientific paper

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.

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