International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 4, Pages 193-197

On S3-equivariant homology

Mohamed Elhamdadi

Department of Mathematics, University of South Florida, 4202 East Fowler Avenue, PHY 114, Tampa 33620, FL, USA

Received 12 September 2000

Copyright © 2001 Mohamed Elhamdadi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We prove that the group S3 (norm 1 quaternions) cannot be a geometric realization of a crossed simplicial group and construct an exact sequence connecting S3-equivariant homology of an S3-space with its Pin(2)-equivariant homology.