000			04137nam a22004813i 4500
001			EBC3113850
003			MiAaPQ
005			20240729124552.0
006			m o d |
007			cr cnu||||||||
008			240724s1995 xx o ||||0 eng d
020			_a9781470401467 _q(electronic bk.)
020			_z9780821804018
035			_a(MiAaPQ)EBC3113850
035			_a(Au-PeEL)EBL3113850
035			_a(CaPaEBR)ebr10918803
035			_a(OCoLC)851088505
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA177 -- .L485 1995eb
082	0		_a514/.24
100	1		_aLevi, Ran.
245	1	0	_aOn Finite Groups and Homotopy Theory.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1995.
264		4	_c©1995.
300			_a1 online resource (121 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.118
505	0		_aIntro -- 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 -- 7.3. The Non Existence of Exponents in π[sup(s)[sub(*)]ΩBπ[sup(^)[sub(p)] -- Part 2: Finite Groups and Resolutions by Fibrations -- Chapter 1. Introduction -- 1.1. Statement of Results -- 1.2. Organization of Part 2 -- Chapter 2. Preliminaries -- 2.1. Universal Central Extensions -- 2.2. Uniqueness of Homotopy Type, Special Case -- 2.3. Homotopy decomposition of Classifying Spaces -- 2.4. The Neisendorfer Fibre Square Lemma -- Chapter 3. Resolutions by Fibrations -- 3.1. Definition and Basic Examples -- 3.2. A Fibration Lemma -- 3.3. The mod-p Cohen Conjecture -- 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.
505	8		_a5.2. 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.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aFinite groups.
650		0	_aHomotopy theory.
650		0	_aLoop spaces.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aLevi, Ran _tOn Finite Groups and Homotopy Theory _dProvidence : American Mathematical Society,c1995 _z9780821804018
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113850 _zClick to View
999			_c69381 _d69381