Subnormal structure of non-stable unitary groups over rings.

DOI10.1016/j.jpaa.2009.07.007zbMath1192.20037OpenAlexW1972334712MaRDI QIDQ847149

Zuhong Zhang

Publication date: 12 February 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.07.007

zbMATH Keywords

subnormal subgroupsgeneral linear groups over ringsunitary groups over rings

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25)

Related Items

The commutators of classical groups, Linear groups over general rings. I: Generalities., A classification of subgroups of odd unitary groups, Subgroups of classical groups normalized by relative elementary groups., Relative commutator calculus in Chevalley groups., Toward the reverse decomposition of unipotents. II: The relative case, Relative unitary commutator calculus, and applications., Subnormal structure of classical groups over Banach algebra., The yoga of commutators: further applications., The yoga of commutators., Injective stability for unitary K₁, revisited, More variations on the decomposition of transvections., Commutators of relative and unrelative elementary unitary groups, Multiple commutator formulas for unitary groups

Cites Work

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• Structure of Hyperbolic Unitary Groups I: Elementary Subgroups
• Stable sandwich classification theorem for classical-like groups