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

On S3-equivariant homology

Mohamed Elhamdadi

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

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.