A further note on subgroups of GL(n,A) which are generated by commutators

DOI10.1007/BF01234374zbMath0458.20046MaRDI QIDQ1151458

Alexander W. Mason

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

elementary matrices

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Commutator calculus (20F12) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (16)

The commutators of classical groups ⋮ Linear groups over general rings. I: Generalities. ⋮ Multiple commutator formulas. ⋮ Structure of Chevalley groups over rings via universal localization. ⋮ Relative commutator calculus in Chevalley groups. ⋮ Relative unitary commutator calculus, and applications. ⋮ Standard commutator formula. ⋮ Linear groups ⋮ Standard commutator formula, revisited. ⋮ The yoga of commutators: further applications. ⋮ The yoga of commutators. ⋮ Generation of relative commutator subgroups in Chevalley groups ⋮ Generation of relative commutator subgroups in Chevalley groups. II ⋮ Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian ⋮ Commutators of relative and unrelative elementary unitary groups ⋮ Multiple commutator formulas for unitary groups

Cites Work

• Unnamed Item
• On subgroups of GL(n,A) which are generated by commutators
• On subgroups of GL (n, A) which are generated by commutators. II.
• A Note on Subgroups of GL(n, A ) which are Generated by Commutators
• ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING

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