Homology of linear groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2001
|
| Schriftenreihe: | Progress in mathematics
193 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 192 S. graph. Darst. |
| ISBN: | 3764364157 |
Internformat
MARC
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| 100 | 1 | |a Knudson, Kevin P. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Homology of linear groups |c Kevin P. Knudson |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2001 | |
| 300 | |a XI, 192 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in mathematics |v 193 | |
| 650 | 7 | |a Algebraïsche groepen |2 gtt | |
| 650 | 7 | |a Homologische algebra |2 gtt | |
| 650 | 7 | |a Lineaire groepen |2 gtt | |
| 650 | 4 | |a Homology theory | |
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Datensatz im Suchindex
| _version_ | 1804128078919630848 |
|---|---|
| adam_text | Contents
Preface ix
Chapter 1. Topological Methods 1
1.1. Finite Fields 1
1.2. Quillen s Conjecture 12
1.3. Etale homotopy theory 14
1.4. Analytical Methods 19
1.5. Unstable Calculations 21
1.6. Congruence Subgroups 23
Exercises 29
Chapter 2. Stability 33
2.1. van der Kallen s Theorem 34
2.2. Stability for rings with many units 38
2.3. Local rings and Milnor /iT theory 46
2.4. Auxiliary stability results 56
2.5. Stability via Homotopy 59
2.6. The Rank Conjecture 61
Exercises 63
Chapter 3. Low dimensional Results 65
3.1. Scissors Congruence 65
3.2. The Bloch Group 70
3.3. Extensions and Generalizations 82
3.4. Invariants of hyperbolic manifolds 87
Exercises 90
Chapter 4. Rank One Groups 91
4.1. SL2(Z[l/p]) 91
4.2. The Bruhat Tits Tree 95
4.3. SL2(k[t}) 96
4.4. SLiikfat 1]) 97
4.5. Curves of Higher Genus 99
4.6. Groups of Higher Rank 105
Exercises 115
viii Contents
Chapter 5. The Friedlander Milnor Conjecture 117
5.1. Lie Groups 117
5.2. Groups over Algebraically Closed Fields 121
5.3. Rigidity 132
5.4. Stable Results 139
5.5. Hi,H2,andH3 144
Exercises 146
Appendix A. Homology of Discrete Groups 149
A.I. Basic Concepts 149
A.2. Spectral Sequences 156
Appendix B. Classifying Spaces and /^ theory 165
B.I. Classifying Spaces 165
B.2. tf theory 168
Appendix C. Etale Cohomology 173
C.I. Etale Morphisms and Henselian Rings 173
C.2. Etale Cohomology 177
C.3. Simplicial Schemes 181
Bibliography 183
Index 191
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:43:32Z |
| institution | BVB |
| isbn | 3764364157 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009074249 |
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| physical | XI, 192 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Knudson, Kevin P. Verfasser aut Homology of linear groups Kevin P. Knudson Basel [u.a.] Birkhäuser 2001 XI, 192 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 193 Algebraïsche groepen gtt Homologische algebra gtt Lineaire groepen gtt Homology theory Linear algebraic groups Lineare algebraische Gruppe (DE-588)4295326-1 gnd rswk-swf Homologietheorie (DE-588)4141714-8 gnd rswk-swf Lineare algebraische Gruppe (DE-588)4295326-1 s Homologietheorie (DE-588)4141714-8 s DE-604 Progress in mathematics 193 (DE-604)BV000004120 193 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009074249&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Knudson, Kevin P. Homology of linear groups Progress in mathematics Algebraïsche groepen gtt Homologische algebra gtt Lineaire groepen gtt Homology theory Linear algebraic groups Lineare algebraische Gruppe (DE-588)4295326-1 gnd Homologietheorie (DE-588)4141714-8 gnd |
| subject_GND | (DE-588)4295326-1 (DE-588)4141714-8 |
| title | Homology of linear groups |
| title_auth | Homology of linear groups |
| title_exact_search | Homology of linear groups |
| title_full | Homology of linear groups Kevin P. Knudson |
| title_fullStr | Homology of linear groups Kevin P. Knudson |
| title_full_unstemmed | Homology of linear groups Kevin P. Knudson |
| title_short | Homology of linear groups |
| title_sort | homology of linear groups |
| topic | Algebraïsche groepen gtt Homologische algebra gtt Lineaire groepen gtt Homology theory Linear algebraic groups Lineare algebraische Gruppe (DE-588)4295326-1 gnd Homologietheorie (DE-588)4141714-8 gnd |
| topic_facet | Algebraïsche groepen Homologische algebra Lineaire groepen Homology theory Linear algebraic groups Lineare algebraische Gruppe Homologietheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009074249&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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