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Adelic profinite groups

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Publication:1364320
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DOI10.1006/jabr.1996.7011zbMath0884.20018OpenAlexW1996422350MaRDI QIDQ1364320

Balasubramanian Sury, Vladimir Platonov

Publication date: 28 January 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5c4a592e4c48e7737704fc9d2f7c5b5bc1d3409e


zbMATH Keywords

profinite completionscongruence subgroupsarithmetic groupsprofinite groupsfinitely generated adelic pro-\(p\) groupsgroups of bounded generation


Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Limits, profinite groups (20E18)


Related Items

On the congruence kernel for simple algebraic groups ⋮ Finite linear groups and bounded generation



Cites Work

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  • Maximal Frattini extensions
  • Free quotients and the congruence kernel of \(SL_ 2\).
  • Subgroup growth and congruence subgroups
  • Normalteiler und maximale Untergruppen endlicher Gruppen
  • ABSTRACT PROPERTIES OF $ S$-ARITHMETIC GROUPS AND THE CONGRUENCE PROBLEM
  • A.D. Alexandrov spaces with curvature bounded below
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