Elementary subgroup of a unitary group over a PI-ring

zbMath0571.20035MaRDI QIDQ1061854

Igor Z. Golubchik, Alexander V. Mikhalev

Publication date: 1985

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

automorphismcenterunitary groupinvolutionfinitely generated moduleprojective groupstandard polynomialhyperbolic rankp.i.-degree

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Automorphisms of infinite groups (20E36) Commutator calculus (20F12) Linear algebraic groups over adèles and other rings and schemes (20G35) Rings with polynomial identity (16Rxx)

Related Items (5)

Relative unitary commutator calculus, and applications. ⋮ Standard commutator formula. ⋮ Prime radicals of graded \(\Omega\)-groups ⋮ The radical \(RN\) and the weakly solvable radical of linear groups over associative rings. ⋮ Chevalley groups over commutative rings. I: Elementary calculations

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