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Calculation of UNil for the cyclic group of order two
-
Qayum Khan
Published/Copyright:
February 8, 2010
Abstract
Cappell's unitary nilpotent groups 
are calculated for the integral group ring R = ℤ[C2] of the cyclic group C2 of order two. Specifically, they are determined as modules over the Verschiebung algebra 𝒱 using the Connolly–Ranicki isomorphism [Adv. Math. 195: 205–258, 2005] and the Connolly–Davis relations [Geometry and Topology 8: 1043–1078, 2004].
Received: 2007-12-23
Revised: 2008-05-17
Published Online: 2010-02-08
Published in Print: 2010-March
© de Gruyter 2010
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- Lp estimates for parabolic magnetic Schrödinger operators
- Calculation of UNil for the cyclic group of order two
- Lie theoretic significance of the measure topologies associated with a finite trace
- Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems
- The finiteness of NK1(ℤ[G])
- Poincaré duality pairs of dimension three
- Optimal quantization of probabilities concentrated on small balls
- A sharp diameter bound for unipotent groups of classical type over ℤ/pℤ
- Homological localizations of Eilenberg–MacLane spectra
- A∞-coalgebra structure maps that vanish on H∗(K(π, n); ℤp)
- The cohomology groups of the outer Whitehead automorphism group of a free product
- Dual topology of the motion groups
Articles in the same Issue
- Lp estimates for parabolic magnetic Schrödinger operators
- Calculation of UNil for the cyclic group of order two
- Lie theoretic significance of the measure topologies associated with a finite trace
- Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems
- The finiteness of NK1(ℤ[G])
- Poincaré duality pairs of dimension three
- Optimal quantization of probabilities concentrated on small balls
- A sharp diameter bound for unipotent groups of classical type over ℤ/pℤ
- Homological localizations of Eilenberg–MacLane spectra
- A∞-coalgebra structure maps that vanish on H∗(K(π, n); ℤp)
- The cohomology groups of the outer Whitehead automorphism group of a free product
- Dual topology of the motion groups
