Moufang polygons:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2002
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009945433&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Includes bibliographical references and index |
| Umfang: | IX, 535 S. |
| ISBN: | 3540437142 |
Internformat
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| 650 | 4 | |a Moufang, Boucles de | |
| 650 | 4 | |a Buildings (Group theory) | |
| 650 | 4 | |a Graph theory | |
| 650 | 4 | |a Moufang loops | |
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Datensatz im Suchindex
| _version_ | 1819315119710011392 |
|---|---|
| adam_text | Table of Contents
Part I Preliminary Results
1 Introduction 3
2 Some Definitions 7
3 Generalized Polygons 15
4 Moufang Polygons 19
5 Commutator Relations 23
6 Opposite Root Groups 27
7 A Uniqueness Lemma 31
8 A Construction 33
Part II Nine Families of Moufang Polygons
9 Alternative Division Rings. I 45
10 Indifferent and Octagonal Sets 57
11 Involutory Sets and Pseudo Quadratic Forms 61
12 Quadratic Forms of Type E6, E7 and Es, I 71
13 Quadratic Forms of Type E6: E7 and Eg, II 91
14 Quadratic Forms of Type F,± 125
15 Hexagonal Systems, I 133
16 An Inventory of Moufang Polygons 163
17 Main Results 175
Part III The Classification of Moufang Polygons
18 A Bound on n 179
19 Triangles 185
20 Alternative Division Rings, II 191
21 Quadrangles 203
22 Quadrangles of Involution Type 215
23 Quadrangles of Quadratic Form Type 229
24 Quadrangles of Indifferent Type 239
25 Quadrangles of Pseudo Quadratic Form Type, I 243
26 Quadrangles of Pseudo Quadratic Form Type, II 251
27 Quadrangles of Type E6, E7 and Eg 275
28 Quadrangles of Type F4 285
29 Hexagons 301
30 Hexagonal Systems, II 319
31 Octagons 339
32 Existence 353
Part IV More Results on Moufang Polygons
33 BN Pairs 367
34 Finite Moufang Polygons 375
35 Isotopes 381
36 Isomorphic Hexagonal Systems 391
37 Automorphisms 397
38 Isomorphic Quadrangles 419
Part V Moufang Polygons and Spherical Buildings
39 Chamber Systems 427
40 Spherical Buildings 447
41 Classical, Algebraic and Mixed Buildings 477
42 Appendix 489
Bibliography 521
Index of Notation 527
Index 529
|
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| ctrlnum | (OCoLC)50323092 (DE-599)BVBBV014651504 |
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| 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 |
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| id | DE-604.BV014651504 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T11:06:07Z |
| institution | BVB |
| isbn | 3540437142 |
| language | English |
| lccn | 2002030274 |
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| oclc_num | 50323092 |
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| physical | IX, 535 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer monographs in mathematics |
| spellingShingle | Tits, Jacques 1930-2021 Moufang polygons Graphes, Théorie des Immeubles (Théorie des groupes) Moufang, Boucles de Buildings (Group theory) Graph theory Moufang loops Gebäude Mathematik (DE-588)4123258-6 gnd Verallgemeinertes Polygon (DE-588)4523359-7 gnd |
| subject_GND | (DE-588)4123258-6 (DE-588)4523359-7 |
| title | Moufang polygons |
| title_auth | Moufang polygons |
| title_exact_search | Moufang polygons |
| title_full | Moufang polygons Jacques Tits ; Richard M. Weiss |
| title_fullStr | Moufang polygons Jacques Tits ; Richard M. Weiss |
| title_full_unstemmed | Moufang polygons Jacques Tits ; Richard M. Weiss |
| title_short | Moufang polygons |
| title_sort | moufang polygons |
| topic | Graphes, Théorie des Immeubles (Théorie des groupes) Moufang, Boucles de Buildings (Group theory) Graph theory Moufang loops Gebäude Mathematik (DE-588)4123258-6 gnd Verallgemeinertes Polygon (DE-588)4523359-7 gnd |
| topic_facet | Graphes, Théorie des Immeubles (Théorie des groupes) Moufang, Boucles de Buildings (Group theory) Graph theory Moufang loops Gebäude Mathematik Verallgemeinertes Polygon |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009945433&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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