On the space of subgroups of a compact group. I

DOI10.1016/j.topol.2008.11.005zbMath1169.22003OpenAlexW4210683843MaRDI QIDQ1009732

S. Fisher, P. M. Gartside

Publication date: 3 April 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2008.11.005

zbMATH Keywords

topological grouphyperspaceclosed subgroup

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Hyperspaces in general topology (54B20) Compact groups (22C05)

Related Items (10)

Closed subgroups of compact groups having open Chabauty spaces ⋮ A TOPOLOGICAL APPROACH TO UNDEFINABILITY IN ALGEBRAIC EXTENSIONS OF ⋮ On the Chabauty space of locally compact Abelian groups ⋮ Locally compact groups with totally disconnected space of subgroups ⋮ On the space of subgroups of a compact group. II ⋮ Subgroup commutativity degree of profinite groups ⋮ A probabilistic measure for the number of commuting subgroups in locally compact groups ⋮ Counting the closed subgroups of profinite groups ⋮ Unnamed Item ⋮ Finitely generated subgroups and Chabauty topology in totally disconnected locally compact groups

Cites Work

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• On the space of subgroups of a compact group. II
• Ein Darstellungssatz für kompakte, total unzusammenhängende Gruppen
• Counting the closed subgroups of profinite groups
• Classifying spaces of subgroups of profinite groups
• Shorter Notes: Profinite Groups are Galois Groups
• On the Completeness of the Space of Compact Subsets
• Topologies on Spaces of Subsets

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