Results on \(\mathrm{K}_1\) of general quadratic groups

DOI10.46298/cm.9855zbMath1545.19002MaRDI QIDQ6591983

Kuntal Chakraborty, Rabeya Basu

Publication date: 23 August 2024

Published in: Communications in Mathematics (Search for Journal in Brave)

zbMATH Keywords

graded ringsform ringsBak's unitary groupsBass' nil groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Projective and free modules and ideals in commutative rings (13C10) Graded rings (13A02) Quadratic and bilinear forms, inner products (15A63) Classical groups (11E57) Negative (K)-theory, NK and Nil (19D35) Stability for linear groups (19B14)

Cites Work

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• \(K_{1}\) of Chevalley groups are nilpotent
• Optimal injective stability for the symplectic \(\mathrm{K}_{1}\mathrm{Sp}\) group
• Unitary symbols and factorization of hyperbolic matrices
• ABSENCE OF TORSION FOR NK₁(R) OVER ASSOCIATIVE RINGS
• The Pillars of Relative Quillen–Suslin Theory
• Quillen–Suslin theory for classical groups: Revisited over graded rings
• Local-global principle for transvection groups
• ANDERSON'S CONJECTURE AND THE MAXIMAL MONOID CLASS OVER WHICH PROJECTIVE MODULES ARE FREE
• K-Theory of Forms. (AM-98)
• A note on general quadratic groups
• Cancellation problem for projective modules over affine algebras

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