English

Finitary Group Cohomology and Group Actions on Spheres

Group Theory 2008-03-19 v1 K-Theory and Homology

Abstract

We show that if G is an infinitely generated locally (polycyclic-by-finite) group with cohomology almost everywhere finitary, then every finite subgroup of G acts freely and orthogonally on some sphere.

Keywords

Cite

@article{arxiv.0803.2542,
  title  = {Finitary Group Cohomology and Group Actions on Spheres},
  author = {Martin Hamilton},
  journal= {arXiv preprint arXiv:0803.2542},
  year   = {2008}
}

Comments

6 pages

R2 v1 2026-06-21T10:22:17.239Z