On the Lie theory of \(p\)-adic analytic groups

DOI10.1007/s00209-004-0717-1zbMath1065.22005OpenAlexW2080501758WikidataQ115388848 ScholiaQ115388848MaRDI QIDQ1771997

Benjamin Klopsch

Publication date: 14 April 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-004-0717-1

zbMATH Keywords

\(p\)-adic analytic groupssaturable subgroups, uniformly powerful subgroups, Lie sublattices

Mathematics Subject Classification ID

General properties and structure of other Lie groups (22E20)

Related Items

Zeta functions of three-dimensional \(p\)-adic Lie algebras, Arithmetic groups, base change, and representation growth., On hereditarily self-similar \(p\)-adic analytic pro-\(p\) groups, Analytic pro-p groups of small dimensions, Representation zeta functions of compact \(p\)-adic analytic groups and arithmetic groups, Uniform groups and Lie algebras, Zeta function of representations of compact 𝑝-adic analytic groups, On \(p\)-saturable groups., On \(w\)-maximal groups., Pro-\(p\) groups with constant generating number on open subgroups., Similarity classes of integral p-adic matrices and representation zeta functions of groups of type A₂, Normal elements in the Iwasawa algebras of Chevalley groups, Kirillov's Orbit Method forp-Groups and Pro-pGroups, Zeta functions associated to admissible representations of compact 𝑝-adic Lie groups, On the second cohomology of the norm one group of a \(p\)-adic division algebra, On self-similarity of \(p\)-adic analytic pro-\(p\) groups of small dimension, Groups with less than \(n\) subgroups of index \(n\).

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• Endliche Gruppen I