Calculation of UNil for the cyclic group of order two

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.

15 pages

References in corpus (2)

• The surgery obstruction groups of the infinite dihedral group
• Reduction of UNil for finite groups with normal abelian Sylow 2-subgroup