The isomorphism conjecture for groups with generalized free product structure

S. K. Roushon

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arXiv · 1410.7937

The isomorphism conjecture for groups with generalized free product structure

S. K. Roushon

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Abstract

In this article we study the K- and L-theory of groups acting on trees. We consider the problem in the context of the fibered isomorphism conjecture of Farrell and Jones. We show that in the class of residually finite groups it is enough to prove the conjecture for finitely presented groups with one end. Also, we deduce that the conjecture is true for the fundamental groups of graphs of finite groups and of trees of virtually cyclic groups. To motivate the reader we include a survey on some classical works on this subject.

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BibTeX RIS

S. K. Roushon. 2014-10-29. The isomorphism conjecture for groups with generalized free product structure. https://arxiv.org/abs/1410.7937

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