English

Calculation of UNil for the cyclic group of order two

Algebraic Topology 2010-06-07 v1 K-Theory and Homology

Abstract

Cappell's unitary nilpotent groups UNil(R;R,R) are calculated for the integral group ring R=Z[C_2] of the cyclic group C_2 of order two. Specifically, they are determined as modules over the Verschiebung algebra V using the Connolly--Ranicki isomorphism and the Connolly--Davis relations.

Keywords

Cite

@article{arxiv.0712.3886,
  title  = {Calculation of UNil for the cyclic group of order two},
  author = {Qayum Khan},
  journal= {arXiv preprint arXiv:0712.3886},
  year   = {2010}
}

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15 pages