vix.ing · top · new · best · stats · spec

Counting the Closed Subgroups of Profinite Groups

2008/09/27 by Paul Gartside, Michael G. Smith, Michael Smith +2
Mathematics · #03E15 #28A05 #54H05 #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Rings, Modules, and Algebras #math.GN #math.GR #msc:03E15 #msc:28A05 #msc:54H05

paper · pdf · doi:10.48550/arxiv.0809.4734

arxiv created 2008/09/27 · openalex publication_date 2008/09/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related