Groups of intermediate subgroup growth and a problem of Grothendieck.

DOI10.1215/S0012-7094-04-12115-3zbMath1057.20019MaRDI QIDQ1880951

László Pyber

Publication date: 27 September 2004

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

subgroups of finite indexfinitely generated groupssubgroup growthprofinite completionsresidually finite groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Residual properties and generalizations; residually finite groups (20E26) Limits, profinite groups (20E18)

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Amenability and profinite completions of finitely generated groups, Torsion-free nilpotent groups of small Hirsch length with isomorphic finite quotients, BRANCH GROUPS, ORBIT GROWTH, AND SUBGROUP GROWTH TYPES FOR PRO- GROUPS, Decision problems and profinite completions of groups., Groups of oscillating intermediate growth., AN UNCOUNTABLE FAMILY OF 3-GENERATED GROUPS WITH ISOMORPHIC PROFINITE COMPLETIONS, Direct factors of profinite completions and decidability, Commensurability growths of algebraic groups, The congruence topology, Grothendieck duality and thin groups, An uncountable family of finitely generated residually finite groups, Diagonal ranks of semigroups., Constructing uncountably many groups with the same profinite completion

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