ON SUBGROUPS OF FINITE INDEX IN POSITIVELY FINITELY GENERATED GROUPS

DOI10.1112/S0024609305004947zbMath1097.20028OpenAlexW2166232643MaRDI QIDQ3375330

Nikolay Nikolov

Publication date: 8 March 2006

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609305004947

zbMATH Keywords

subgroups of finite indexpolynomial subgroup growthprofinite groupspositively finitely generated groupsclosed maximal subgroupsrandom sets of elements

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Generators, relations, and presentations of groups (20F05) Limits, profinite groups (20E18) Probabilistic methods in group theory (20P05)

Related Items (3)

Green index in semigroups: generators, presentations, and automatic structures. ⋮ Random generation of finite and profinite groups and group enumeration. ⋮ Green index and finiteness conditions for semigroups.

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