Moufang polygons:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2002
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | IX, 535 S. |
| ISBN: | 3540437142 |
Internformat
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV014651504 | ||
| 003 | DE-604 | ||
| 005 | 20021203 | ||
| 007 | t | ||
| 008 | 020813s2002 xxu |||| 00||| eng d | ||
| 010 | |a 2002030274 | ||
| 020 | |a 3540437142 |9 3-540-43714-2 | ||
| 035 | |a (OCoLC)50323092 | ||
| 035 | |a (DE-599)BVBBV014651504 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-355 |a DE-29T |a DE-20 |a DE-384 |a DE-19 |a DE-634 |a DE-188 |a DE-83 | ||
| 050 | 0 | |a QA174.2 | |
| 082 | 0 | |a 512/.2 |2 21 | |
| 084 | |a SK 260 |0 (DE-625)143227: |2 rvk | ||
| 084 | |a 16W10 |2 msc | ||
| 084 | |a 51E12 |2 msc | ||
| 084 | |a 20E42 |2 msc | ||
| 084 | |a 05C25 |2 msc | ||
| 084 | |a 51E24 |2 msc | ||
| 100 | 1 | |a Tits, Jacques |d 1930-2021 |e Verfasser |0 (DE-588)1044477709 |4 aut | |
| 245 | 1 | 0 | |a Moufang polygons |c Jacques Tits ; Richard M. Weiss |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2002 | |
| 300 | |a IX, 535 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Springer monographs in mathematics | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Graphes, Théorie des | |
| 650 | 4 | |a Immeubles (Théorie des groupes) | |
| 650 | 4 | |a Moufang, Boucles de | |
| 650 | 4 | |a Buildings (Group theory) | |
| 650 | 4 | |a Graph theory | |
| 650 | 4 | |a Moufang loops | |
| 650 | 0 | 7 | |a Gebäude |g Mathematik |0 (DE-588)4123258-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Verallgemeinertes Polygon |0 (DE-588)4523359-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Verallgemeinertes Polygon |0 (DE-588)4523359-7 |D s |
| 689 | 0 | 1 | |a Gebäude |g Mathematik |0 (DE-588)4123258-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Weiss, Richard M. |d 1946- |e Sonstige |0 (DE-588)123955750 |4 oth | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009945433 | ||
Datensatz im Suchindex
| _version_ | 1804129409516437504 |
|---|---|
| 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
|
| any_adam_object | 1 |
| author | Tits, Jacques 1930-2021 |
| author_GND | (DE-588)1044477709 (DE-588)123955750 |
| author_facet | Tits, Jacques 1930-2021 |
| author_role | aut |
| author_sort | Tits, Jacques 1930-2021 |
| author_variant | j t jt |
| building | Verbundindex |
| bvnumber | BV014651504 |
| callnumber-first | Q - Science |
| callnumber-label | QA174 |
| callnumber-raw | QA174.2 |
| callnumber-search | QA174.2 |
| callnumber-sort | QA 3174.2 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 260 |
| ctrlnum | (OCoLC)50323092 (DE-599)BVBBV014651504 |
| 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 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01999nam a2200553zc 4500</leader><controlfield tag="001">BV014651504</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20021203 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">020813s2002 xxu |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2002030274</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540437142</subfield><subfield code="9">3-540-43714-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)50323092</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014651504</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA174.2</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.2</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 260</subfield><subfield code="0">(DE-625)143227:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">16W10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">51E12</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">20E42</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">05C25</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">51E24</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Tits, Jacques</subfield><subfield code="d">1930-2021</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1044477709</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Moufang polygons</subfield><subfield code="c">Jacques Tits ; Richard M. Weiss</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2002</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 535 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Springer monographs in mathematics</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Graphes, Théorie des</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Immeubles (Théorie des groupes)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Moufang, Boucles de</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Buildings (Group theory)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Graph theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Moufang loops</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gebäude</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4123258-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Verallgemeinertes Polygon</subfield><subfield code="0">(DE-588)4523359-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Verallgemeinertes Polygon</subfield><subfield code="0">(DE-588)4523359-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Gebäude</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4123258-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Weiss, Richard M.</subfield><subfield code="d">1946-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)123955750</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009945433</subfield></datafield></record></collection> |
| id | DE-604.BV014651504 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:04:41Z |
| institution | BVB |
| isbn | 3540437142 |
| language | English |
| lccn | 2002030274 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009945433 |
| oclc_num | 50323092 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-29T DE-20 DE-384 DE-19 DE-BY-UBM DE-634 DE-188 DE-83 |
| owner_facet | DE-355 DE-BY-UBR DE-29T DE-20 DE-384 DE-19 DE-BY-UBM DE-634 DE-188 DE-83 |
| physical | IX, 535 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer monographs in mathematics |
| spelling | Tits, Jacques 1930-2021 Verfasser (DE-588)1044477709 aut Moufang polygons Jacques Tits ; Richard M. Weiss Berlin [u.a.] Springer 2002 IX, 535 S. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Includes bibliographical references and index Graphes, Théorie des Immeubles (Théorie des groupes) Moufang, Boucles de Buildings (Group theory) Graph theory Moufang loops Gebäude Mathematik (DE-588)4123258-6 gnd rswk-swf Verallgemeinertes Polygon (DE-588)4523359-7 gnd rswk-swf Verallgemeinertes Polygon (DE-588)4523359-7 s Gebäude Mathematik (DE-588)4123258-6 s DE-604 Weiss, Richard M. 1946- Sonstige (DE-588)123955750 oth HBZ Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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 |
| work_keys_str_mv | AT titsjacques moufangpolygons AT weissrichardm moufangpolygons |