We develop new invariants Σm(G,A) similar to the Bieri–Strebel–Neumann–Renz invariants Σm(G,A) but in the category of Bredon modules A (with respect to the class of the finite subgroups of G). We prove that for virtually soluble groups of type FP∞ and finite extension of the Thompson group F we have Σ∞(G,Z)=Σ∞(G,Z).
Classification :
20-XX
Mots-clés :
Bredon cohomology, Sigma theory
Affiliations des auteurs :
Dessislava H. Kochloukova
1
;
Conchita Martínez-Pérez
2
1
IMECC - UNICAMP, Campinas, Brazil
2
Universidad de Zaragoza, Spain
Dessislava H. Kochloukova; Conchita Martínez-Pérez. Sigma theory for Bredon modules. Groups, geometry, and dynamics, Tome 8 (2014) no. 2, pp. 415-440. doi: 10.4171/ggd/232
@article{10_4171_ggd_232,
author = {Dessislava H. Kochloukova and Conchita Mart{\'\i}nez-P\'erez},
title = {Sigma theory for {Bredon} modules},
journal = {Groups, geometry, and dynamics},
pages = {415--440},
year = {2014},
volume = {8},
number = {2},
doi = {10.4171/ggd/232},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/232/}
}
TY - JOUR
AU - Dessislava H. Kochloukova
AU - Conchita Martínez-Pérez
TI - Sigma theory for Bredon modules
JO - Groups, geometry, and dynamics
PY - 2014
SP - 415
EP - 440
VL - 8
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/232/
DO - 10.4171/ggd/232
ID - 10_4171_ggd_232
ER -
%0 Journal Article
%A Dessislava H. Kochloukova
%A Conchita Martínez-Pérez
%T Sigma theory for Bredon modules
%J Groups, geometry, and dynamics
%D 2014
%P 415-440
%V 8
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/232/
%R 10.4171/ggd/232
%F 10_4171_ggd_232
