On finite groups and homotopy theory / Ran Levi.

Format:

Book

Author/Creator:

Levi, Ran, 1961- author.

Series:

Memoirs of the American Mathematical Society ; Volume 118, Number 567.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 118, Number 567

Language:

English

Subjects (All):

Finite groups.

Homotopy theory.

Loop spaces.

Physical Description:

1 online resource (121 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1995.

Language Note:

English

Summary:

does not need NBB copy

Contents:

""Contents""; ""Abstract""; ""Preface""; ""Acknowledgements""; ""Part 1: The Homology and Homotopy Theory Associated with ΩBπ[sup(^)[sub(p)]""; ""Chapter 1. Introduction""; ""1.1. Statement of Results""; ""1.2. Organization of Part 1""; ""Chapter 2. Preliminaries""; ""2.1. Some Facts on the R�Completion Functor""; ""2.2. Mod�R Acyclic Spaces and Proposition 1.1.2""; ""2.3. The Quillen ""Plus"" Construction""; ""Chapter 3. A model for S[sub(*)]ΩX[sup(^)sub(R)]""; ""3.1. An Algebraic ""Plus"" Construction""; ""3.2. Proof of Theorems 1.1.2 and 1.1.3""

""Chapter 4. Homology Exponents for ΩBπ[sup(^)[sub(p)]""""4.1. Extended Maps and Homotopies""; ""4.2. Proof of Theorem 1.1.1""; ""Chapter 5. Examples for Homology Exponents""; ""5.1. Groups with a Dihedral Sylow 2�Subgroup""; ""5.2. Groups with a Semidihedral Sylow 2�Subgroup""; ""Chapter 6. The Homotopy Groups of Bπ[sup(^)[sub(p)]""; ""6.1. Some Basic Facts""; ""6.2. Proof of Theorem 1.1.4""; ""6.3. Examples for Homotopy Exponents""; ""Chapter 7. Stable Homotopy Exponents for ΩBπ[sup(^)[sub(p)]""; ""7.1. Preliminaries on the Transfer""; ""7.2. Proof of Theorem 1.1.5""

""Chapter 4. Sporadic Examples""""4.1. Groups with a Dihedral Sylow 2�Subgroup""; ""4.2. Groups with a Semidihedral Sylow 2�Subgroup""; ""Chapter 5. Groups of Lie Type and S�Resolutions""; ""5.1. Preliminary Theorems""; ""5.2. A Spherical Fibre Square""; ""5.3. Proof of Theorem 1.1.3""; ""5.4. The Groups SL[sub(n)](F[sub(q)] and Sp[sub(2n)](F[sub(q)]""; ""5.5. Proof of Theorem 1.1.6 and Examples""; ""Chapter 6. Clark�Ewing Spaces and Groups""; ""6.1. Construction""; ""6.2. Spherical Resolutions of Loop Spaces on Clark�Ewing Spaces""

""6.3. Resolutions by Cohomological Considerations""""6.4. Some Preliminaries from Representation Theory""; ""6.5. Clark�Ewing Groups""; ""Chapter 7. Discussion""; ""References""

Notes:

"November 1995, volume 118, no. 567 (end of volume)."

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0146-0