Structure of Hyperbolic Unitary Groups II: Classification of E-Normal Subgroups

DOI10.1142/S1005386717000128zbMath1419.20006arXiv1506.08885OpenAlexW2963491170MaRDI QIDQ5267952

Raimund Preusser

Publication date: 13 June 2017

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08885

zbMATH Keywords

unitary groupsE-normal subgroupssandwich classification

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other matrix groups over rings (20H25) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items

Sandwich classification for \(\mathrm{GL}_{n}(R)\), \(\mathrm{O}_{2n}(R)\) and \(\mathrm{U}_{2n}(R,\lambda)\) revisited, Groups normalized by the odd unitary group, Toward the reverse decomposition of unipotents. II: The relative case, The E-normal structure of odd dimensional unitary groups, Yoga of commutators in DSER elementary orthogonal group, Sandwich classification for \(O_{2n+1}(R)\) and \(U_{2n+1}(R,\Delta)\) revisited, Towards the reverse decomposition of unipotents, The E-normal structure of Petrov’s odd unitary groups over commutative rings, The reverse decomposition of unipotents for bivectors, Commutators of relative and unrelative elementary unitary groups

Cites Work

• Subgroups of classical groups normalized by relative elementary groups.
• Stability for Hermitian \(K_1\)
• Dimension theory and nonstable \(K_{1}\) of quadratic modules
• Normal subgroups of classical groups over rings
• The structure of quadratic groups over commutative rings.
• Structure of Hyperbolic Unitary Groups I: Elementary Subgroups