Some remarks on Nil groups in algebraic K-theory

2008/03/11 by James F. Davis, Davis, James F.
Mathematics · #16E20 (Secondary) #19D35 (Primary) #57Q10 #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AT #math.KT #msc:16E20 #msc:19D35 #msc:57Q10

paper · pdf · doi:10.48550/arxiv.0803.1641

arxiv created 2008/03/11 · openalex publication_date 2008/03/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note explains consequences of recent work of Frank Quinn for computations of Nil groups in algebraic K-theory, in particular the Nil groups occurring in the K-theory of polynomial rings, Laurent polynomial rings, and the group ring of the infinite dihedral group.

Citations

• Hyperelementary assembly for K-theory of virtually abelian groups

Related

• The "fundamental theorem" for the algebraic K-theory of strongly ℤ-graded rings
• On the generators of Nil K-groups
• K- and L-theory of group rings
• Regular exact categories and algebraic K-theory
• A Quick Overview On Regular Algebraic K-Theory For Groups