arXiv:0809.4734 Abstract | arXiv Analytics

arXiv:0809.4734 [math.GR]Abstract References Reviews Resources

Counting the Closed Subgroups of Profinite Groups

Published 2008-09-27Version 1

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.

Categories: math.GR, math.GN

Subjects: 54H05, 03E15, 28A05

Keywords: closed subgroups, profinite group carry, natural profinite topology, closed-normal subgroups, subgroup spaces

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