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arxiv: 0809.4735 · v1 · submitted 2008-09-27 · 🧮 math.GR · math.GN

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Classifying Spaces of Subgroups of Profinite Groups

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classification 🧮 math.GR math.GN
keywords profinitesubgroupsboundscarriescasesclassifiedclassifyingclosed
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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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