Calculation of UNil for the cyclic group of order two

Details Calculation of UNil for the cyclic group of order two Calculation of UNil for the cyclic group of order two

2007-12-23

arxiv.org/abs/0712.3886v1

Forum Mathematicum, Volume 22, Issue 2 (2010), 221--239

Mathematics

Algebraic Topology

15 pages

Scientific paper

10.1515/FORUM.2010.012

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.

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