The Pillars of Relative Quillen–Suslin Theory

DOI10.1007/978-981-15-1611-5_12zbMath1436.19002arXiv1810.03329OpenAlexW2894898008MaRDI QIDQ3296371

Rabeya Basu, Reema Khanna, Ravi A. Rao

Publication date: 7 July 2020

Published in: Leavitt Path Algebras and Classical K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03329

zbMATH Keywords

bilinear formssymplectic and orthogonal forms

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Stability for linear groups (19B14)

Cites Work

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• A nice group structure on the orbit space of unimodular rows. II
• Faisceaux algébriques cohérents
• A group structure on certain orbit sets of unimodular rows
• Serre's conjecture
• Local-global principle for the general quadratic and general Hermitian groups and the nilpotency of \(\mathrm{KH}_1\)
• \(K_{1}\) of Chevalley groups are nilpotent
• Local-global principle for congruence subgroups of Chevalley groups.
• THE STABILIZATION OF SYMPLECTIC GROUPS OVER A POLYNOMIAL RING
• Relating the Principles of Quillen–Suslin Theory
• Local-global principle for transvection groups
• A stably elementary homotopy
• ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
• ON STABLY FREE MODULES
• Projective Modules Over an Extension of a Local Ring
• Introduction to Algebraic K-Theory. (AM-72)
• Projective modules over polynomial rings

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