Buildings:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1996
|
| Edition: | Corr. 2. print. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 215 S. |
| ISBN: | 0387968768 3540968768 |
Staff View
MARC
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| 100 | 1 | |a Brown, Kenneth S. |e Verfasser |4 aut | |
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Record in the Search Index
| _version_ | 1807773636096950272 |
|---|---|
| adam_text |
CONTENTS
CHAPTER
I.
FINITE
REFLECTION
GROUPS
1
1.
DEFINITIONS
1
2.
EXAMPLES
2
3.
CLASSIFICATION
5
4.
CELL
DECOMPOSITION
6
5.
THE
ASSOCIATED
SIMPLICIAL
COMPLEX
15
APPENDIX.
ABSTRACT
SIMPLICIAL
COMPLEXES
27
CHAPTER
II.
ABSTRACT
REFLECTION
GROUPS
33
1.
IN
SEARCH
OF
AXIOMS
33
2.
EXAMPLES
37
3.
CONSEQUENCES
OF
THE
DELETION
CONDITION
46
4.
COXETER
GROUPS
52
5.
LOOSE
ENDS
53
CHAPTER
III.
COXETER
COMPLEXES
58
1.
THE
COXETER
COMPLEX
IS
SIMPLICIAL
58
2.
LOCAL
PROPERTIES
OF
COXETER
COMPLEXES
59
J.
CONSTRUCTION
OF
CHAMBER
MAPS
63
4.
HALF-SPACES
66
CHAPTER
IV.
BUILDINGS
76
1.
DEFINITION
AND
FIRST
PROPERTIES
76
2.
EXAMPLES
79
3.
RETRACTIONS
85
4.
THE
COMPLETE
SYSTEM
OF
APARTMENTS
87
5.
THE
SPHERICAL
CASE
92
6.
THE
HOMOTOPY
TYPE
OF
A
BUILDING
94
7.
THE
AXIOMS
FOR
A
THICK
BUILDING
97
CHAPTER
V.
BUILDINGS
AND
GROUPS
99
1.
STRONGLY
TRANSITIVE
AUTOMORPHISM
GROUPS
99
2.
BN-PAIRS
107
3.
THE
BUILDING
ASSOCIATED
TO
A
BN-PAIR
112
4.
HISTORICAL
REMARKS
115
5.
EXAMPLE:
THE
GENERAL
LINEAR
GROUP
118
F .
EXAMPLE:
THE
SYMPLECTIC
GROUP
120
7.
EXAMPLE:
THE
ORTHOGONAL
GROUP
123
8.
EXAMPLE:
THE
SPECIAL
LINEAR
GROUP
OVER
A
FIELD
WITH
DISCRETE
VALUATION
127
VIII
CONTENTS
CHAPTER
VI.
EUCLIDEAN
BUILDINGS
139
1.
EUCLIDEAN
REFLECTION
GROUPS
139
2.
EUCLIDEAN
COXETER
COMPLEXES
149
3.
EUCLIDEAN
BUILDINGS
AS
METRIC
SPACES
151
4.
THE
BRUHAT-TITS
FIXED-POINT
THEOREM
157
5.
APPLICATION:
BOUNDED
SUBGROUPS
159
6.
BOUNDED
SUBSETS
OF
APARTMENTS
163
7.
A
METRIC
CHARACTERIZATION
OF
THE
APARTMENTS
165
8.
CONSTRUCTION
OF
APARTMENTS
169
9.
THE
SPHERICAL
BUILDING
AT
INFINITY
174
CHAPTER
VII.
APPLICATIONS
TO
GROUP
COHOMOLOGY
183
1.
ARITHMETIC
GROUPS
OVER
THE
RATIONALS
183
2.
S-ARITHMETIC
GROUPS
189
3.
COHOMOLOGICAL
DIMENSION
OF
LINEAR
GROUPS
194
4.
S-ARITHMETIC
GROUPS
OVER
FUNCTION
FIELDS
195
APPENDIX.
LINEAR
ALGEBRAIC
GROUPS
198
SUGGESTIONS
FOR
FURTHER
READING
206
REFERENCES
207
NOTATION
INDEX
211
SUBJECT
INDEX
213 |
| any_adam_object | 1 |
| author | Brown, Kenneth S. |
| author_facet | Brown, Kenneth S. |
| author_role | aut |
| author_sort | Brown, Kenneth S. |
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| building | Verbundindex |
| bvnumber | BV010766358 |
| callnumber-first | Q - Science |
| callnumber-label | QA174 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 260 SK 320 |
| ctrlnum | (OCoLC)35121953 (DE-599)BVBBV010766358 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Corr. 2. print. |
| format | Book |
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| id | DE-604.BV010766358 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-19T00:28:06Z |
| institution | BVB |
| isbn | 0387968768 3540968768 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007189253 |
| oclc_num | 35121953 |
| open_access_boolean | |
| owner | DE-20 DE-384 DE-12 DE-83 DE-11 |
| owner_facet | DE-20 DE-384 DE-12 DE-83 DE-11 |
| physical | VIII, 215 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| spelling | Brown, Kenneth S. Verfasser aut Buildings Kenneth S. Brown Corr. 2. print. New York [u.a.] Springer 1996 VIII, 215 S. txt rdacontent n rdamedia nc rdacarrier Wagner, Richard 1813-1883 (DE-588)118594117 gnd rswk-swf Buildings (Group theory) Gruppentheorie (DE-588)4072157-7 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 1\p DE-604 Wagner, Richard 1813-1883 (DE-588)118594117 p 2\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007189253&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Brown, Kenneth S. Buildings Wagner, Richard 1813-1883 (DE-588)118594117 gnd Buildings (Group theory) Gruppentheorie (DE-588)4072157-7 gnd Gebäude Mathematik (DE-588)4123258-6 gnd |
| subject_GND | (DE-588)118594117 (DE-588)4072157-7 (DE-588)4123258-6 |
| title | Buildings |
| title_auth | Buildings |
| title_exact_search | Buildings |
| title_full | Buildings Kenneth S. Brown |
| title_fullStr | Buildings Kenneth S. Brown |
| title_full_unstemmed | Buildings Kenneth S. Brown |
| title_short | Buildings |
| title_sort | buildings |
| topic | Wagner, Richard 1813-1883 (DE-588)118594117 gnd Buildings (Group theory) Gruppentheorie (DE-588)4072157-7 gnd Gebäude Mathematik (DE-588)4123258-6 gnd |
| topic_facet | Wagner, Richard 1813-1883 Buildings (Group theory) Gruppentheorie Gebäude Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007189253&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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