Twin buildings and applications to S-arithmetic groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin [u.a.]
Springer
1996
|
| Series: | Lecture notes in mathematics
1641 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 123 S. |
| ISBN: | 3540619739 |
Staff View
MARC
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| 245 | 1 | 0 | |a Twin buildings and applications to S-arithmetic groups |c Peter Abramenko |
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Record in the Search Index
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| adam_text |
Table of contents
Introduction 1
I Groups acting on twin buildings 11
§1 Twin BN pairs and RGD systems 11
§2 Twin buildings and twin apartments 21
§3 Fundamental domains for strongly transitive actions on twin buildings 30
§4 Coprojections in twin buildings 33
Appendix: Coconvexity 39
§5 A Go_ invariant filtration of A+ 41
§6 Finiteness properties of Ga_ 45
II Homotopy properties of |A°(a)| 56
§1 Basic properties of A°(a) 56
§2 Examples and counter examples 59
§3 General remarks concerning the sphericity proofs 68
§4 The case An 73
§5 Lemmata on hermitian and pseudo quadratic forms 77
§6 The case Cn 83
§7 The case Dn 91
§8 Summary 105
III Finiteness properties of classical Fq groups over Fq[t] 107
§1 Twin BN pairs in isometry groups over k[t, t'1] 107
§2 The finiteness length of Q(Wq[t]) 112
Bibliography 115
Index of notations 120
Subject Index 121
IX |
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| author | Abramenko, Peter 1960- |
| author_GND | (DE-588)138001995 |
| author_facet | Abramenko, Peter 1960- |
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| dewey-raw | 510 512/.2 |
| dewey-search | 510 512/.2 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011026190 |
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| indexdate | 2024-07-20T07:38:19Z |
| institution | BVB |
| isbn | 3540619739 |
| language | German |
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| physical | IX, 123 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Abramenko, Peter 1960- Verfasser (DE-588)138001995 aut Twin buildings and applications to S-arithmetic groups Peter Abramenko Berlin [u.a.] Springer 1996 IX, 123 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1641 Groepentheorie gtt Buildings (Group theory) Finite geometries Gruppentheorie (DE-588)4072157-7 gnd rswk-swf S-arithmetische Gruppe (DE-588)4139972-9 gnd rswk-swf Gebäude Mathematik (DE-588)4123258-6 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 s Gebäude Mathematik (DE-588)4123258-6 s DE-604 S-arithmetische Gruppe (DE-588)4139972-9 s Lecture notes in mathematics 1641 (DE-604)BV000676446 1641 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007382721&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Abramenko, Peter 1960- Twin buildings and applications to S-arithmetic groups Lecture notes in mathematics Groepentheorie gtt Buildings (Group theory) Finite geometries Gruppentheorie (DE-588)4072157-7 gnd S-arithmetische Gruppe (DE-588)4139972-9 gnd Gebäude Mathematik (DE-588)4123258-6 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4139972-9 (DE-588)4123258-6 |
| title | Twin buildings and applications to S-arithmetic groups |
| title_auth | Twin buildings and applications to S-arithmetic groups |
| title_exact_search | Twin buildings and applications to S-arithmetic groups |
| title_full | Twin buildings and applications to S-arithmetic groups Peter Abramenko |
| title_fullStr | Twin buildings and applications to S-arithmetic groups Peter Abramenko |
| title_full_unstemmed | Twin buildings and applications to S-arithmetic groups Peter Abramenko |
| title_short | Twin buildings and applications to S-arithmetic groups |
| title_sort | twin buildings and applications to s arithmetic groups |
| topic | Groepentheorie gtt Buildings (Group theory) Finite geometries Gruppentheorie (DE-588)4072157-7 gnd S-arithmetische Gruppe (DE-588)4139972-9 gnd Gebäude Mathematik (DE-588)4123258-6 gnd |
| topic_facet | Groepentheorie Buildings (Group theory) Finite geometries Gruppentheorie S-arithmetische Gruppe Gebäude Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007382721&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT abramenkopeter twinbuildingsandapplicationstosarithmeticgroups |