Geodesic
An Eilenberg–Ganea phenomenon for actions with virtually cyclic stabilisers
Martin G. Fluch1 ; Ian J. Leary2 orcid
1Universität Bielefeld, Germany
2University of Southampton, UK
Groups, geometry, and dynamics, Tome 8 (2014) no. 1, pp. 135-142

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DOI

In dimension 3 and above, Bredon cohomology gives an accurate purely algebraic description of the minimal dimension of the classifying space for actions of a group with stabilisers in any given family of subgroups. For some Coxeter groups and the family of virtually cyclic subgroups we show that the Bredon cohomological dimension is 2 while the Bredon geometric dimension is 3.
DOI : 10.4171/ggd/219
Classification : 57-XX, 20-XX
Mots-clés : Classifying spaces for families, Eilenberg–Ganea

Martin G. Fluch  1   ; Ian J. Leary  2

1 Universität Bielefeld, Germany
2 University of Southampton, UK 
Martin G. Fluch; Ian J. Leary. An Eilenberg–Ganea phenomenon for actions with virtually cyclic stabilisers. Groups, geometry, and dynamics, Tome 8 (2014) no. 1, pp. 135-142. doi: 10.4171/ggd/219
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     title = {An {Eilenberg{\textendash}Ganea} phenomenon for actions with virtually cyclic stabilisers},
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     year = {2014},
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     number = {1},
     doi = {10.4171/ggd/219},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/219/}
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