Geodesic
The isomorphism conjecture in $L$-theory: graphs of groups
Homology, homotopy, and applications, Tome 14 (2012) no. 1, pp. 1-17.

Voir la notice de l'article provenant de la source International Press of Boston

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 2. of Theorem 1.2, we prove the$L$-theory version of Theorem 1.2 in the 2003 paper by Farrell and Linnell.
DOI : 10.4310/HHA.2012.v14.n1.a1
Classification : 19G24, 19J25, 55N91
Keywords: group action on trees, graph of groups, fibered isomorphism conjecture, $L$-theory, surgery group 
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S.K. Roushon. The isomorphism conjecture in $L$-theory: graphs of groups. Homology, homotopy, and applications, Tome 14 (2012) no. 1, pp. 1-17. doi : 10.4310/HHA.2012.v14.n1.a1. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n1.a1/

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