International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 4, Pages 193-197
doi:10.1155/S0161171201005804
On S3-equivariant homology
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.
Abstract
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.