Profinite completions and isomorphic finite quotients

DOI10.1016/0022-4049(82)90098-6zbMath0477.20014OpenAlexW2022815836MaRDI QIDQ1160746

John C. Poland, John D. Dixon, Edward W. Formanek, Luis Ribes

Publication date: 1982

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(82)90098-6

zbMATH Keywords

subgroups of finite indexfinitely generated groupsprofinite completionfinitely generated profinite groupinverse limit of finite quotientsisomorphism types of finite quotients

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Local properties of groups (20E25) Limits, profinite groups (20E18)

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Cites Work

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• Algebraic extensions of finite corank of Hilbertian fields
• Genus and cancellation for groups with finite commutator subgroups
• Subgroups of finite index in profinite groups