Schur multiplier of a group of elementary matrices of finite order

DOI10.1007/BF01465463zbMath0459.20042OpenAlexW2315568030MaRDI QIDQ1151967

M. S. Tulenbaev

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf01465463

zbMATH Keywords

Schur multiplierSteinberg groupgroups generated by elementary matrices

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Grothendieck groups, (K)-theory, etc. (16E20) Projective representations and multipliers (20C25) Linear algebraic groups over adèles and other rings and schemes (20G35) Representation theory of associative rings and algebras (16Gxx)

Related Items (15)

Bak's work on theK-theory of rings ⋮ Homology of multiplicative Lie rings ⋮ The commutators of classical groups ⋮ Multiple commutator formulas. ⋮ Normality for elementary subgroup functors ⋮ Centrality of \(K_2\)-functor revisited ⋮ Calculations in exceptional groups over rings. ⋮ Nonabelian \(K\)-theory: The nilpotent class of \(K_ 1\) and general stability ⋮ Linear groups ⋮ Algebraic K-theory ⋮ Chevalley groups over commutative rings. I: Elementary calculations ⋮ Dimension theory and nonstable K-theory for net groups ⋮ Another presentation for symplectic Steinberg groups ⋮ \(K_{1}\) of Chevalley groups are nilpotent ⋮ Multiple commutator formulas for unitary groups

Cites Work

• Introduction to Algebraic K-Theory. (AM-72)
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