Classifying spaces for proper actions of locally finite groups
Copyright policy )Classifying spaces for proper actions of locally finite groups
For each finite ordinal n, and each locally-finite group G of cardinality aleph-sub-n, we construct an (n+1)-dimensional, contractible CW-complex on which G acts with finite stabilizers. We use the complex to obtain information about cohomology with induced coefficients. Our techniques also give information about the location of some large free abelian groups in the hierarchy HF.
AMSTeX.amsppt, 25 pages, no figures
- Rutgers, The State University of New Jersey United States
- Queen Mary University of London United Kingdom
- University of Southampton United Kingdom
- Autonomous University of Barcelona Spain
- University of Alabama at Birmingham United States
Topological methods in group theory, induced modules, actions, Topological properties of groups of homeomorphisms or diffeomorphisms, Group Theory (math.GR), Classifying spaces of groups and \(H\)-spaces in algebraic topology, locally finite groups, 510, contractible CW-complexes, 20F50 (Primary) 20J06, 20K20, 57M07 (Secondary), Periodic groups; locally finite groups, FOS: Mathematics, Cohomology of groups, Mathematics - Group Theory, finite stabilizers
Topological methods in group theory, induced modules, actions, Topological properties of groups of homeomorphisms or diffeomorphisms, Group Theory (math.GR), Classifying spaces of groups and \(H\)-spaces in algebraic topology, locally finite groups, 510, contractible CW-complexes, 20F50 (Primary) 20J06, 20K20, 57M07 (Secondary), Periodic groups; locally finite groups, FOS: Mathematics, Cohomology of groups, Mathematics - Group Theory, finite stabilizers
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