Homology of Linear Groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser Basel
2001
|
| Series: | Progress in Mathematics
193 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Daniel Quillen's definition of the higher algebraic K-groups of a ring emphasized the importance of computing the homology of groups of matrices. This text traces the development of this theory from Quillen's fundamental calculation of the cohomology of GLn (Fq). The stability theorems and low-dimensional results of A. Suslin, W. van der Kallen and others are presented as well as recent results for rank one groups. A chapter on the Friedlander-Milnor-conjecture concerning the homology of algebraic groups made discrete is also included. This marks the first time that these results have been collected in a single volume. The book should prove useful to graduate students and researchers in K-theory, group cohomology, algebraic geometry and topology |
| Physical Description: | 1 Online-Ressource (XI, 192 p) |
| ISBN: | 9783034883382 9783034895231 |
| DOI: | 10.1007/978-3-0348-8338-2 |
Staff View
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Record in the Search Index
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| id | DE-604.BV042422103 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034883382 9783034895231 |
| language | English |
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| physical | 1 Online-Ressource (XI, 192 p) |
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| publishDate | 2001 |
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| publisher | Birkhäuser Basel |
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| spelling | Knudson, Kevin P. Verfasser aut Homology of Linear Groups by Kevin P. Knudson Basel Birkhäuser Basel 2001 1 Online-Ressource (XI, 192 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 193 Daniel Quillen's definition of the higher algebraic K-groups of a ring emphasized the importance of computing the homology of groups of matrices. This text traces the development of this theory from Quillen's fundamental calculation of the cohomology of GLn (Fq). The stability theorems and low-dimensional results of A. Suslin, W. van der Kallen and others are presented as well as recent results for rank one groups. A chapter on the Friedlander-Milnor-conjecture concerning the homology of algebraic groups made discrete is also included. This marks the first time that these results have been collected in a single volume. The book should prove useful to graduate students and researchers in K-theory, group cohomology, algebraic geometry and topology Mathematics Algebraic topology Algebraic Topology Mathematik Homologietheorie (DE-588)4141714-8 gnd rswk-swf Lineare algebraische Gruppe (DE-588)4295326-1 gnd rswk-swf Lineare algebraische Gruppe (DE-588)4295326-1 s Homologietheorie (DE-588)4141714-8 s 1\p DE-604 https://doi.org/10.1007/978-3-0348-8338-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Knudson, Kevin P. Homology of Linear Groups Mathematics Algebraic topology Algebraic Topology Mathematik Homologietheorie (DE-588)4141714-8 gnd Lineare algebraische Gruppe (DE-588)4295326-1 gnd |
| subject_GND | (DE-588)4141714-8 (DE-588)4295326-1 |
| title | Homology of Linear Groups |
| title_auth | Homology of Linear Groups |
| title_exact_search | Homology of Linear Groups |
| title_full | Homology of Linear Groups by Kevin P. Knudson |
| title_fullStr | Homology of Linear Groups by Kevin P. Knudson |
| title_full_unstemmed | Homology of Linear Groups by Kevin P. Knudson |
| title_short | Homology of Linear Groups |
| title_sort | homology of linear groups |
| topic | Mathematics Algebraic topology Algebraic Topology Mathematik Homologietheorie (DE-588)4141714-8 gnd Lineare algebraische Gruppe (DE-588)4295326-1 gnd |
| topic_facet | Mathematics Algebraic topology Algebraic Topology Mathematik Homologietheorie Lineare algebraische Gruppe |
| url | https://doi.org/10.1007/978-3-0348-8338-2 |
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