We develop new invariants similar to the Bieri–Strebel–Neumann–Renz invariants but in the category of Bredon modules (with respect to the class of the finite subgroups of ). We prove that for virtually soluble groups of type and finite extension of the Thompson group we have .
Cite this article
Dessislava H. Kochloukova, Conchita Martínez-Pérez, Sigma theory for Bredon modules. Groups Geom. Dyn. 8 (2014), no. 2, pp. 415–440DOI 10.4171/GGD/232