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On finite groups and homotopy theory

About this Title

Ran Levi

Publication: Memoirs of the American Mathematical Society
Publication Year: 1996; Volume 118, Number 567
ISBNs: 978-0-8218-0401-8 (print); 978-1-4704-0146-7 (online)
DOI: https://doi.org/10.1090/memo/0567
MathSciNet review: 1308466
MSC: Primary 55R40; Secondary 55R35

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Table of Contents

Chapters

  • Part 1. The homology and homotopy theory associated with $\Omega B\pi _p^\wedge$
  • 1. Introduction
  • 2. Preliminaries
  • 3. A model for $S_*{\Omega }X^\wedge _R$
  • 4. Homology exponents for ${\Omega }B\pi ^\wedge _p$
  • 5. Examples for homology exponents
  • 6. The homotopy groups of $B\pi ^\wedge _p$
  • 7. Stable homotopy exponents for ${\Omega }B\pi ^\wedge _p$
  • Part 2. Finite groups and resolutions by fibrations
  • 1. Introduction
  • 2. Preliminaries
  • 3. Resolutions by fibrations
  • 4. Sporadic examples
  • 5. Groups of Lie type and $\mathcal {S}$-resolutions
  • 6. Clark-Ewing spaces and groups
  • 7. Discussion