The cohomology of Bestvina–Brady groups
Copyright policy )The cohomology of Bestvina–Brady groups
For each subcomplex of the standard CW-structure on any torus, we compute the homology of a certain infinite cyclic regular covering space. In all cases when the homology is finitely generated, we also compute the cohomology ring. For aspherical subcomplexes of the torus, our computation gives the homology of the groups introduced by M. Bestvina and N. Brady in [3]. We compute the cohomological dimension of each of these groups.
- Eastern Mediterranean University
- University of Southampton United Kingdom
- THE OHIO STATE UNIVERSITY United States
Simplicial sets and complexes in algebraic topology, Topological methods in group theory, cohomological dimension, cohomology rings, simplicial complexes, Group Theory (math.GR), Braid groups; Artin groups, 20J05, 510, Artin groups, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Cohomology of groups, Bestvina-Brady groups, Mathematics - Group Theory, fundamental groups
Simplicial sets and complexes in algebraic topology, Topological methods in group theory, cohomological dimension, cohomology rings, simplicial complexes, Group Theory (math.GR), Braid groups; Artin groups, 20J05, 510, Artin groups, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Cohomology of groups, Bestvina-Brady groups, Mathematics - Group Theory, fundamental groups
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