Counting the closed subgroups of profinite groups

DOI10.1515/JGT.2009.029zbMath1201.20021arXiv0809.4734MaRDI QIDQ3406631

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Publication date: 19 February 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.4734

zbMATH Keywords

weightspronilpotent groupsprofinite groupsspaces of subgroupsscattered heights

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Topological characterizations of particular spaces (54F65) Topological groups (topological aspects) (54H11) Limits, profinite groups (20E18)

Related Items (10)

Invariant random subgroups over non-Archimedean local fields ⋮ Equivariant sheaves for profinite groups ⋮ Low-dimensional solenoidal manifolds ⋮ A TOPOLOGICAL APPROACH TO UNDEFINABILITY IN ALGEBRAIC EXTENSIONS OF ⋮ Injective dimension of sheaves of rational vector spaces ⋮ Classifying spaces of subgroups of profinite groups ⋮ A characterization of totally disconnected compactly ruled groups ⋮ On the space of subgroups of a compact group. II ⋮ On the space of subgroups of a compact group. I ⋮ Bounding the covolume of lattices in products

Cites Work

• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• On the space of subgroups of a compact group. II
• On the space of subgroups of a compact group. I
• Fields with continuous local elementary properties. II
• Enumeration Theorems in Infinite Abelian Groups
• Locally Compact Groups with every Closed Subgroup of Finite Index
• The absolute Galois group of a pseudo p-adically closed field.
• ON $ \kappa$-METRIZABLE SPACE
• TOPOLOGY OF LIMIT SPACES OF UNCOUNTABLE INVERSE SPECTRA
• Burnside algebras of profinite groups

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