Finite representations of adelic groups, the congruence kernel and cohomology of finite simple groups.

DOI10.4310/PAMQ.2005.v1.n2.a2zbMath1188.20046MaRDI QIDQ2471435

Alexander Lubotzky

Publication date: 22 February 2008

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: http://www.ma.huji.ac.il/~alexlub/PAPERS/Finite%20representation%20of%20adelic%20groups/Finite%20representation%20of%20adelic%20groups.pdf

zbMATH Keywords

finitely generated groupsfinitely presented groupsnon-Archimedean local fieldsglobal fieldsprofinite groupsvirtually pro-\(p\) groupsabsolutely almost simple algebraic groupscompact subgroups of general linear groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Linear algebraic groups over global fields and their integers (20G30) Cohomology theory for linear algebraic groups (20G10) Linear algebraic groups over local fields and their integers (20G25) Limits, profinite groups (20E18) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (6)

On the congruence kernel for simple algebraic groups ⋮ PROFINITE COMPLETION OF GRIGORCHUK'S GROUP IS NOT FINITELY PRESENTED ⋮ Presentations: from Kac-Moody groups to profinite and back ⋮ A canonical torsion theory for pro-\(p\) Iwahori-Hecke modules ⋮ Presentations of finite simple groups: A quantitative approach ⋮ Finite presentability of \(\text{SL}_1(D)\).

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