On finite groups and homotopy theory:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, RI
1995
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
567 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007028509&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Volume 118, Number 567 (end of volume) |
| Umfang: | XIII, 100 S. |
| ISBN: | 0821804014 |
Internformat
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| 245 | 1 | 0 | |a On finite groups and homotopy theory |c Ran Levi |
| 264 | 1 | |a Providence, RI |c 1995 | |
| 300 | |a XIII, 100 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 567 | |
| 500 | |a Volume 118, Number 567 (end of volume) | ||
| 650 | 7 | |a Eindige groepen |2 gtt | |
| 650 | 7 | |a Homotopie |2 gtt | |
| 650 | 4 | |a Finite groups | |
| 650 | 4 | |a Homotopy theory | |
| 650 | 4 | |a Loop spaces | |
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 1565485 |
|---|---|
| _version_ | 1821933965331660801 |
| adam_text | Contents
Abstract vii
Preface ix
Acknowledgements xiii
Part 1
The Homology and Homotopy Theory Associated with ilBn^
Chapter 1. Introduction 3
1.1. Statement of Results 3
1.2. Organization of Part 1 6
Chapter 2. Preliminaries 7
2.1. Some Facts on the It Completion Functor 7
2.2. Mod R Acyclic Spaces and Proposition 1.1.2 7
2.3. The Quillen Plus Construction 8
Chapter 3. A model for SJIX* 9
3.1. An Algebraic Plus Construction 9
3.2. Proof of Theorems 1.1.2 and 1.1.3 12
Chapter 4. Homology Exponents for QBn^ 13
4.1. Extended Maps and Homotopies 13
4.2. Proof of Theorem 1.1.1 15
Chapter 5. Examples for Homology Exponents 21
5.1. Groups with a Dihedral Sylow 2 Subgroup 21
5.2. Groups with a Semidihedral Sylow 2 Subgroup 23
Chapter 6. The Homotopy Groups of Bn* 25
6.1. Some Basic Facts 25
6.2. Proof of Theorem 1.1.4 27
6.3. Examples for Homotopy Exponents 28
vi CONTENTS
Chapter 7. Stable Homotopy Exponents for OBtt^ 31
7.1. Preliminaries on the Transfer 31
7.2. Proof of Theorem 1.1.5 33
7.3. The Non Existence of Exponents in n*B7r£ 35
Part 2
Finite Groups and Resolutions by Fibrations
Chapter 1. Introduction 43
1.1. Statement of Results 43
1.2. Organization of Part 2 46
Chapter 2. Preliminaries 47
2.1. Universal Central Extensions 47
2.2. Uniqueness of Homotopy Type, Special Case 47
2.3. Homotopy decomposition of Classifying Spaces 49
2.4. The Neisendorfer Fibre Square Lemma 49
Chapter 3. Resolutions by Fibrations 51
3.1. Definition and Basic Examples 51
3.2. A Fibration Lemma 53
3.3. The mod p Cohen Conjecture 54
Chapter 4. Sporadic Examples 57
4.1. Groups with a Dihedral Sylow 2 Subgroup 57
4.2. Groups with a Semidihedral Sylow 2 Subgroup 67
Chapter 5. Groups of Lie Type and S Resolutions 77
5.1. Preliminary Theorems 77
5.2. A Spherical Fibre Square 78
5.3. Proof of Theorem 1.1.3 81
5.4. The Groups SLn(¥q) and Sp2n(Fq) 83
5.5. Proof of Theorem 1.1.6 and Examples 85
Chapter 6. Clark Ewing Spaces and Groups 87
6.1. Construction 87
6.2. Spherical Resolutions of Loop Spaces on Clark Ewing Spaces 89
6.3. Resolutions by Cohomological Considerations 89
6.4. Some Preliminaries from Representation Theory 91
6.5. Clark Ewing Groups 92
Chapter 7. Discussion 95
References 97
|
| any_adam_object | 1 |
| author | Levi, Ran 1961- |
| author_GND | (DE-588)172931134 |
| author_facet | Levi, Ran 1961- |
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| author_sort | Levi, Ran 1961- |
| author_variant | r l rl |
| building | Verbundindex |
| bvnumber | BV010545373 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)32856441 (DE-599)BVBBV010545373 |
| dewey-full | 510 514/.24 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 514 - Topology |
| dewey-raw | 510 514/.24 |
| dewey-search | 510 514/.24 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010545373 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:56:23Z |
| institution | BVB |
| isbn | 0821804014 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007028509 |
| oclc_num | 32856441 |
| open_access_boolean | |
| owner | DE-824 DE-384 DE-739 DE-12 DE-355 DE-BY-UBR DE-29T DE-91G DE-BY-TUM DE-83 DE-188 |
| owner_facet | DE-824 DE-384 DE-739 DE-12 DE-355 DE-BY-UBR DE-29T DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | XIII, 100 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spellingShingle | Levi, Ran 1961- On finite groups and homotopy theory American Mathematical Society: Memoirs of the American Mathematical Society Eindige groepen gtt Homotopie gtt Finite groups Homotopy theory Loop spaces Perfekte Gruppe (DE-588)4247757-8 gnd Homotopie (DE-588)4025803-8 gnd Homotopietheorie (DE-588)4128142-1 gnd Endliche Gruppe (DE-588)4014651-0 gnd Schleifenraum (DE-588)4179711-5 gnd |
| subject_GND | (DE-588)4247757-8 (DE-588)4025803-8 (DE-588)4128142-1 (DE-588)4014651-0 (DE-588)4179711-5 |
| title | On finite groups and homotopy theory |
| title_auth | On finite groups and homotopy theory |
| title_exact_search | On finite groups and homotopy theory |
| title_full | On finite groups and homotopy theory Ran Levi |
| title_fullStr | On finite groups and homotopy theory Ran Levi |
| title_full_unstemmed | On finite groups and homotopy theory Ran Levi |
| title_short | On finite groups and homotopy theory |
| title_sort | on finite groups and homotopy theory |
| topic | Eindige groepen gtt Homotopie gtt Finite groups Homotopy theory Loop spaces Perfekte Gruppe (DE-588)4247757-8 gnd Homotopie (DE-588)4025803-8 gnd Homotopietheorie (DE-588)4128142-1 gnd Endliche Gruppe (DE-588)4014651-0 gnd Schleifenraum (DE-588)4179711-5 gnd |
| topic_facet | Eindige groepen Homotopie Finite groups Homotopy theory Loop spaces Perfekte Gruppe Homotopietheorie Endliche Gruppe Schleifenraum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007028509&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT leviran onfinitegroupsandhomotopytheory |
Inhaltsverzeichnis
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 990-563/567
Lageplan |
|---|---|
| Exemplar 1 |
Ausleihbar
Am Standort
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