Kirillov's Orbit Method forp-Groups and Pro-pGroups

DOI10.1080/00927870802545679zbMath1201.20022OpenAlexW2119913116MaRDI QIDQ3656753

Jon González-Sánchez

Publication date: 14 January 2010

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

Full work available at URL: https://doi.org/10.1080/00927870802545679

zbMATH Keywords

finite \(p\)-groups\(p\)-adic analytic groupsLazard correspondencepotent filtrationsKirillov orbit methodpowerful pro-\(p\) groups\(p\)-adic Lie latticessaturable pro-\(p\) groups

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Limits, profinite groups (20E18)

Related Items (7)

Arithmetic groups, base change, and representation growth. ⋮ Enumerating classes and characters of 𝑝-groups ⋮ Representation zeta functions of compact \(p\)-adic analytic groups and arithmetic groups ⋮ Transporting cohomology in Lazard correspondence ⋮ Similarity classes of integral p-adic matrices and representation zeta functions of groups of type A₂ ⋮ Adjoint orbits of matrix groups over finite quotients of compact discrete valuation rings and representation zeta functions ⋮ Zeta functions associated to admissible representations of compact 𝑝-adic Lie groups

Cites Work

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• The orbit method for profinite groups and a \(p\)-adic analogue of Brown's theorem.
• Omega subgroups of pro-\(p\) groups.
• Proof of Springer's hypothesis
• On the Lie theory of \(p\)-adic analytic groups
• On the structure of normal subgroups of potent \(p\)-groups.
• On \(p\)-saturable groups.
• Analytic pro-p groups of small dimensions
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Merits and demerits of the orbit method
• Zeta function of representations of compact 𝑝-adic analytic groups

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