Classifying Spaces of Subgroups of Profinite Groups
classification
🧮 math.GR
math.GN
keywords
profinitesubgroupsboundscarriescasesclassifiedclassifyingclosed
read the original abstract
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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