Algebraic K-theory of groups wreath product with finite groups

Abstract

The Farrell-Jones Fibered Isomorphism Conjecture for the stable topological pseudoisotopy theory has been proved for several classes of groups. For example for discrete subgroups of Lie groups, virtually poly-infinite cyclic groups, Artin braid groups, a class of virtually poly-surface groups and virtually solvable linear group. We extend these results in the sense that if G is a group from the above classes then we prove the conjecture for the wreath product G with H for H a finite group. We also prove the conjecture for some other classes of groups.

14 pages, AMSLATEX file, final version with some minor corrections. accepted for publication in Topology and its Applications

References in corpus (4)

• The Farrell-Jones isomorphism conjecture for 3-manifold groups
• On the Farrell-Jones Conjecture for higher algebraic K-theory
• The isomorphism conjecture for 3-manifold groups and K-theory of virtually poly-surface groups
• On the isomorphism conjecture for groups acting on trees

Cited by in corpus (5)

• Algebraic $K$-theory, assembly maps, controlled algebra, and trace methods
• On the isomorphism conjecture for groups acting on trees
• Vanishing structure set of 3-manifolds
• Surgery groups of the fundamental groups of hyperplane arrangement complements
• The isomorphism conjecture in L-theory