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Calculation of UNil for the cyclic group of order two

  • Qayum Khan
Veröffentlicht/Copyright: 8. Februar 2010
Forum Mathematicum
Aus der Zeitschrift Band 22 Heft 2

Abstract

Cappell's unitary nilpotent groups are calculated for the integral group ring R = â„€[C2] of the cyclic group C2 of order two. Specifically, they are determined as modules over the Verschiebung algebra đ’± 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

Artikel in diesem Heft

  1. Lp estimates for parabolic magnetic Schrödinger operators
  2. Calculation of UNil for the cyclic group of order two
  3. Lie theoretic significance of the measure topologies associated with a finite trace
  4. Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems
  5. The finiteness of NK1(â„€[G])
  6. Poincaré duality pairs of dimension three
  7. Optimal quantization of probabilities concentrated on small balls
  8. A sharp diameter bound for unipotent groups of classical type over â„€/pâ„€
  9. Homological localizations of Eilenberg–MacLane spectra
  10. A∞-coalgebra structure maps that vanish on H∗(K(π, n); â„€p)
  11. The cohomology groups of the outer Whitehead automorphism group of a free product
  12. Dual topology of the motion groups
https://doi.org/10.1515/forum.2010.012

Artikel in diesem Heft

  1. Lp estimates for parabolic magnetic Schrödinger operators
  2. Calculation of UNil for the cyclic group of order two
  3. Lie theoretic significance of the measure topologies associated with a finite trace
  4. Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems
  5. The finiteness of NK1(â„€[G])
  6. Poincaré duality pairs of dimension three
  7. Optimal quantization of probabilities concentrated on small balls
  8. A sharp diameter bound for unipotent groups of classical type over â„€/pâ„€
  9. Homological localizations of Eilenberg–MacLane spectra
  10. A∞-coalgebra structure maps that vanish on H∗(K(π, n); â„€p)
  11. The cohomology groups of the outer Whitehead automorphism group of a free product
  12. Dual topology of the motion groups
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