Absence of torsion in orbit space

DOI10.1142/S0219498822501572zbMath1499.13041arXiv2007.07545OpenAlexW3148392073MaRDI QIDQ5100107

Sampat Sharma

Publication date: 29 August 2022

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

Full work available at URL: https://arxiv.org/abs/2007.07545

zbMATH Keywords

Suslin matricesunimodular rowselementary group action

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Local rings and semilocal rings (13H99) Stable range conditions (19B10)

Cites Work

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• A nice group structure on the orbit space of unimodular rows. II
• A group structure on certain orbit sets of unimodular rows
• Operations on orbits of unimodular vectors
• The Bass-Quillen conjecture in dimension three but characteristic \(\neq 2,3\) via a question of A. Suslin
• A module structure on certain orbit sets of unimodular rows
• Algebraic K-theory and crystalline cohomology
• A nice group structure on the orbit space of unimodular rows
• The orbit set and the orthogonal quotient
• ABSENCE OF TORSION FOR NK₁(R) OVER ASSOCIATIVE RINGS
• A structure theorem for the elementary unimodular vector group
• ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
• SERRE'S PROBLEM ON PROJECTIVE MODULES OVER POLYNOMIAL RINGS, AND ALGEBRAIC $ K$-THEORY
• ON STABLY FREE MODULES
• Mennicke symbols, 𝐾-cohomology and a Bass-Kubota theorem
• ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING

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