Some remarks on Nil groups in algebraic K-theory

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.

References in corpus (2)

• The K-theoretic Farrell-Jones Conjecture for hyperbolic groups
• Hyperelementary assembly for K-theory of virtually abelian groups

Cited by in corpus (7)

• Algebraic K-theory over the infinite dihedral group: an algebraic approach
• Lower algebraic K-theory of certain reflection groups
• Bass' $NK$ groups and $cdh$-fibrant Hochschild homology
• On the K- and L-theory of hyperbolic and virtually finitely generated abelian groups
• On the vanishing of the lower K-theory of the Holomorph of a free group on two generators
• Algebraic Geometry of Topological Spaces I
• On the algebraic K-theory of 3-manifold groups