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Mathematische Zeitschrift

, 264:209 | Cite as

Homotopy nilpotency in p-regular loop spaces

  • Shizuo Kaji
  • Daisuke Kishimoto
Article

Abstract

We consider the problem how far from being homotopy commutative is a loop space having the homotopy type of the p-completion of a product of finite numbers of spheres. We determine the homotopy nilpotency of those loop spaces as an answer to this problem.

Keywords

Weyl Group Coxeter Group Homotopy Type Loop Space Ring Homomorphism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of Applied Mathematics, Faculty of ScienceFukuoka UniversityFukuokaJapan
  2. 2.Department of MathematicsKyoto UniversityKyotoJapan

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