Digital Object Identifier (DOI)
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.
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Citation / Publisher Attribution
International Journal of Mathematics and Mathematical Sciences, v. 26, art. 512859
Scholar Commons Citation
Elhamdadi, Mohamed, "On S3-equivariant Homology" (2001). Mathematics and Statistics Faculty Publications. 69.