A note on general quadratic groups

DOI10.1142/S0219498818502171zbMath1469.11059arXiv1705.06998OpenAlexW2619453705MaRDI QIDQ4644389

Rabeya Basu

Publication date: 4 January 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06998

zbMATH Keywords

general linear groupselementary subgroupsquadratic formsdirect limitbilinear forms

Mathematics Subject Classification ID

(K)-theory of quadratic and Hermitian forms (11E70) Projective and free modules and ideals in commutative rings (13C10) Quadratic and bilinear forms, inner products (15A63) Stability for linear groups (19B14) Stability for quadratic modules (19G05)

Related Items (1)

Commutators of relative and unrelative elementary unitary groups

Cites Work

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• Odd unitary groups.
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• Dimension theory and nonstable \(K_{1}\) of quadratic modules
• \(K_{1}\) of Chevalley groups are nilpotent
• Optimal injective stability for the symplectic \(\mathrm{K}_{1}\mathrm{Sp}\) group
• Injective stability for \(K_{1}\) of the orthogonal group
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Lectures on quadratic Jordan algebras
• THE STABILIZATION OF SYMPLECTIC GROUPS OVER A POLYNOMIAL RING
• Bak's work on theK-theory of rings
• Local-global principle for transvection groups
• K-Theory of Forms. (AM-98)
• Structure of Hyperbolic Unitary Groups I: Elementary Subgroups
• ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING
• STABILIZATION OF UNITARY AND ORTHOGONAL GROUPS OVER A RING WITH INVOLUTION

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