Geodesic
Cohomological invariants and the classifying space for proper actions
Giovanni Gandini1
1Københavns Universitet, Copenhagen, Denmark
Groups, geometry, and dynamics, Tome 6 (2012) no. 4, pp. 659-675

Voir la notice de l'article provenant de la source EMS Press

DOI

We investigate two open questions in a cohomology theory relative to the family of finite subgroups. The problem of whether the F-cohomological dimension is subadditive is reduced to extensions by groups of prime order. We show that every finitely generated regular branch group has infinite rational cohomological dimension. Moreover, we prove that the first Grigorchuk group G is not contained in Kropholler’s class HF.
DOI : 10.4171/ggd/169
Classification : 20-XX, 18-XX, 00-XX
Mots-clés : Classifying spaces, cohomological finiteness conditions, branch groups

Giovanni Gandini  1

1 Københavns Universitet, Copenhagen, Denmark 
Giovanni Gandini. Cohomological invariants and  the classifying space  for proper actions. Groups, geometry, and dynamics, Tome 6 (2012) no. 4, pp. 659-675. doi: 10.4171/ggd/169
@article{10_4171_ggd_169,
     author = {Giovanni Gandini},
     title = {Cohomological invariants and  the classifying space  for proper actions},
     journal = {Groups, geometry, and dynamics},
     pages = {659--675},
     year = {2012},
     volume = {6},
     number = {4},
     doi = {10.4171/ggd/169},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/169/}
}
TY  - JOUR
AU  - Giovanni Gandini
TI  - Cohomological invariants and  the classifying space  for proper actions
JO  - Groups, geometry, and dynamics
PY  - 2012
SP  - 659
EP  - 675
VL  - 6
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/169/
DO  - 10.4171/ggd/169
ID  - 10_4171_ggd_169
ER  - 
%0 Journal Article
%A Giovanni Gandini
%T Cohomological invariants and  the classifying space  for proper actions
%J Groups, geometry, and dynamics
%D 2012
%P 659-675
%V 6
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/169/
%R 10.4171/ggd/169
%F 10_4171_ggd_169

Cité par Sources :