The isomorphism conjecture in L-theory: graphs of groups

Abstract

We study the Fibered Isomorphism Conjecture of Farrell and Jones in L-theory for groups acting on trees. In several cases we prove the conjecture. This includes wreath products of abelian groups and free metabelian groups. We also deduce the conjecture in pseudoisotopy theory for these groups. Finally in B of Theorem 1.1 we prove the L-theory version of [[7], Theorem 1.2].

20 pages. AMSLATEX file, updated and revised incorporating referee's suggestions and simplified notations

References in corpus (6)

• The Farrell-Jones isomorphism conjecture for 3-manifold groups
• On the isomorphism conjecture for groups acting on trees
• Metabelian Wreath Products Are LERF
• On the Farrell-Jones Conjecture and its applications
• Surgery groups of the fundamental groups of hyperplane arrangement complements
• The isomorphism conjecture in L-theory

Cited by in corpus (3)

• Vanishing structure set of 3-manifolds
• The isomorphism conjecture for groups with generalized free product structure
• On the Bit Complexity of Iterated Memory