Descent in buildings / (Record no. 81290)
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| control field | ocn922450146 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220908100046.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
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| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 150921s2015 nju ob 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2015008618 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | YDXCP |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | YDXCP |
| Modifying agency | OCLCO |
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| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781400874019 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1400874017 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780691166902 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 0691166900 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780691166919 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 0691166919 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1515/9781400874019 |
| Source of number or code | doi |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000057038524 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 445987308 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DKDLA |
| System control number | 820120-katalog:999928586405765 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922450146 |
| Canceled/invalid control number | (OCoLC)915156266 |
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| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 815477 |
| Source of stock number/acquisition | MIL |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 22573/ctt193f79s |
| Source of stock number/acquisition | JSTOR |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 9452507 |
| Source of stock number/acquisition | IEEE |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA174.2 |
| Item number | .M84 2015 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 012000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT012000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT036000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT012010 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516/.13 |
| Edition number | 23 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | M�uhlherr, Bernhard Matthias, |
| Relator term | author. |
| 9 (RLIN) | 64409 |
| 245 10 - TITLE STATEMENT | |
| Title | Descent in buildings / |
| Statement of responsibility, etc. | Bernhard M�uhlherr, Holger P. Petersson, Richard M. Weiss. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Princeton : |
| Name of producer, publisher, distributor, manufacturer | Princeton University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2015. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xvi, 336 pages .) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| File type | text file |
| Encoding format | |
| Source | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Annals of mathematics studies ; |
| Volume/sequential designation | 190 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references and index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover; Title; Copyright; Dedication; Contents; Preface; PART 1. MOUFANG QUADRANGLES; Chapter 1. Buildings; Chapter 2. Quadratic Forms; Chapter 3. Moufang Polygons; Chapter 4. Moufang Quadrangles; Chapter 5. Linked Tori, I; Chapter 6. Linked Tori, II; Chapter 7. Quadratic Forms over a Local Field; Chapter 8. Quadratic Forms of Type E6, E7 and E8; Chapter 9. Quadratic Forms of Type F4; PART 2. RESIDUES IN BRUHAT-TITS BUILDINGS; Chapter 10. Residues; Chapter 11. Unramified Quadrangles of Type E6, E7 and E8; Chapter 12. Semi-ramified Quadrangles of Type E6, E7 and E8. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter 13. Ramified Quadrangles of Type E6, E7 and E8Chapter 14. Quadrangles of Type E6, E7 and E8: Summary; Chapter 15. Totally Wild Quadratic Forms of Type E7; Chapter 16. Existence; Chapter 17. Quadrangles of Type F4; Chapter 18. The Other Bruhat-Tits Buildings; PART 3. DESCENT; Chapter 19. Coxeter Groups; Chapter 20. Tits Indices; Chapter 21. Parallel Residues; Chapter 22. Fixed Point Buildings; Chapter 23. Subbuildings; Chapter 24. Moufang Structures; Chapter 25. Fixed Apartments; Chapter 26. The Standard Metric; Chapter 27. Affine Fixed Point Buildings; PART 4. GALOIS INVOLUTIONS. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter 28. Pseudo-Split BuildingsChapter 29. Linear Automorphisms; Chapter 30. Strictly Semi-linear Automorphisms; Chapter 31. Galois Involutions; Chapter 32. Unramified Galois Involutions; PART 5. EXCEPTIONAL TITS INDICES; Chapter 33. Residually Pseudo-Split Buildings; Chapter 34. Forms of Residually Pseudo-Split Buildings; Chapter 35. Orthogonal Buildings; Chapter 36. Indices for the Exceptional Bruhat-Tits Buildings; Bibliography; Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Descent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings. The authors then put their algebraic solution into a geometric context by developing a general fixed point theory for groups acting on buildings of arbitrary type, giving necessary and sufficient conditions for the residues fixed by a group to form a kind of subbuilding or "form" of the original building. At the center of this theory is the notion of a Tits index, a combinatorial version of the notion of an index in the relative theory of algebraic groups. |
| 546 ## - LANGUAGE NOTE | |
| Language note | In English. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | IEEE |
| Provenance (VM) [OBSOLETE] | IEEE Xplore Princeton University Press eBooks Library |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Buildings (Group theory) |
| 9 (RLIN) | 64410 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Combinatorial geometry. |
| 9 (RLIN) | 64411 |
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| Topical term or geographic name entry element | Immeubles (Th�eorie des groupes) |
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| Topical term or geographic name entry element | G�eom�etrie combinatoire. |
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| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Geometry |
| -- | General. |
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| 9 (RLIN) | 7661 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Buildings (Group theory) |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst00841183 |
| 9 (RLIN) | 64410 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Combinatorial geometry. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst00868972 |
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| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Petersson, Holger P., |
| Dates associated with a name | 1939- |
| Relator term | author. |
| 9 (RLIN) | 64414 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Weiss, Richard M. |
| Fuller form of name | (Richard Mark), |
| Dates associated with a name | 1946- |
| Relator term | author. |
| 9 (RLIN) | 64415 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | M�uhlherr, Bernhard Matthias. |
| Title | Descent in buildings. |
| Place, publisher, and date of publication | Princeton : Princeton University Press, 2015 |
| International Standard Book Number | 9780691166902 |
| -- | 0691166900 |
| Record control number | (DLC) 2015008618 |
| -- | (OCoLC)907060235 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Annals of mathematics studies ; |
| Volume/sequential designation | no. 190. |
| 9 (RLIN) | 64416 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452507">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452507</a> |
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