NK₁ of Bak's unitary group over Graded Rings

2021/01/18 by Rabeya Basu, Basu, Rabeya, Kuntal Chakraborty +1
Mathematics · #Advanced Topics in Algebra #Rings, Modules, and Algebras #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2101.07022

Abstract

For an associative ring R with identity, we study the absence of k-torsion in NK₁GQ(R); Bass nil-groups for the general quadratic or Bak's unitary groups. By using a graded version of Quillen--Suslin theory we deduce an analog for the graded rings.

Related

• Absence of torsion for NK₁(R) over associative rings
• Unitary SK₁ for a Graded Division Ring and its Quotient Division Ring
• Explicit Examples in NK₁
• Units, zero-divisors and idempotents in rings graded by torsion-free groups
• Quillen--Suslin Theory; Revisited over Graded Rings