Publication | Closed Access
ON ALGEBRAIC AND GEOMETRIC DIMENSIONS FOR GROUPS WITH TORSION
53
Citations
0
References
2001
Year
Coxeter GroupGeometric Group TheoryAlgebraic StructureFixed Point SubcomplexNatural GeneralizationOrdered GroupFinite StabilizersGroup RepresentationNilpotent Group
Various notions of dimension for discrete groups are compared. A group is exhibited that acts with finite stabilizers on an acyclic 2-complex in such a way that the fixed point subcomplex for any non-trivial finite subgroup is contractible, but such that the group does not admit any such action on a contractible 2-complex. This group affords a counterexample to a natural generalization of the Eilenberg–Ganea conjecture.