Finite \(p\)-periodic quotients of general linear groups

DOI10.1007/BF01450948zbMath0441.20028MaRDI QIDQ1142860

Balz Buergisser

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/163502

zbMATH Keywords

Farrell-Tate cohomologyring of algebraic integersprincipal congruence subgroupfinite p-periodic quotientsS- arithmetic groupstorsion-free subgroup of finite indexvirtually finite cohomological dimension

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Cohomology theory for linear algebraic groups (20G10) Linear algebraic groups over local fields and their integers (20G25)

Related Items (max. 100)

The p ‐periodicity of the groups GL ( n, O _s ( K )) and SL( n, O _s ( K )) ⋮ Linear groups ⋮ On finite nilpotent matrix groups over integral domains. ⋮ One combinatorial construction in representation theory

Cites Work

• Projective module groups of \(SL_n(\mathbb{Z})\) and \(GL_n(\mathbb{Z})\)
• The \(p\)-period of a finite group
• An extension of Tate cohomology to a class of infinite groups
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