Finite presentability of \(\text{SL}_1(D)\).

DOI10.1007/s11856-007-0015-9zbMath1125.20034OpenAlexW2033172988MaRDI QIDQ995369

Mikhail V. Ershov

Publication date: 3 September 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-007-0015-9

zbMATH Keywords

local fieldsfinitely generated profinite groupsfinitely presented profinite groupscovers of pro-\(p\)-groupsdepths of normal coverselementary coverselementary extensionsfiltrations of pro-\(p\)-groupsgraded Lie algebras associated with filtrationsintegrable extensions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Cohomology of groups (20J06) Lie algebras of linear algebraic groups (17B45) Finite-dimensional division rings (16K20) Linear algebraic groups over local fields and their integers (20G25) Limits, profinite groups (20E18) Skew fields, division rings (12E15)

Related Items (1)

Golod-Shafarevich groups with property \((T)\) and Kac-Moody groups.

Cites Work

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• Topological central extensions of \(\text{SL}_1(D)\).
• Primitive polynomials with first and second coefficients prescribed.
• Finite representations of adelic groups, the congruence kernel and cohomology of finite simple groups.
• THE NOTTINGHAM GROUP IS FINITELY PRESENTED
• The Norm 1 Group of -Adic Division Algebra
• Primitive elements with zero traces
• Pro-finite presentations

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