Parallelisms of complete designs /:
These notes present an investigation of a condition similar to Euclid's parallel axiom for subsets of finite sets. The background material to the theory of parallelisms is introduced and the author then describes the links this theory has with other topics from the whole range of combinatorial...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
©1976.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
23. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | These notes present an investigation of a condition similar to Euclid's parallel axiom for subsets of finite sets. The background material to the theory of parallelisms is introduced and the author then describes the links this theory has with other topics from the whole range of combinatorial theory and permutation groups. These include network flows, perfect codes, Latin squares, block designs and multiply-transitive permutation groups, and long and detailed appendices are provided to serve as introductions to these various subjects. Many of the results are published for the first time. |
| Beschreibung: | 1 online resource (144 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 138-142) and index. |
| ISBN: | 9781107360846 1107360846 9780511662102 0511662106 |
Internformat
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| 520 | |a These notes present an investigation of a condition similar to Euclid's parallel axiom for subsets of finite sets. The background material to the theory of parallelisms is introduced and the author then describes the links this theory has with other topics from the whole range of combinatorial theory and permutation groups. These include network flows, perfect codes, Latin squares, block designs and multiply-transitive permutation groups, and long and detailed appendices are provided to serve as introductions to these various subjects. Many of the results are published for the first time. | ||
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| author | Cameron, Peter J. (Peter Jephson), 1947- |
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| contents | Cover; Title; Copyright; Contents; Introduction; 1 The existence theorem; APPENDIX 1A. The Integrity Theorem for network flows; 2 The parallelogram property; APPENDIX 2A. The binary perfect code theorem; APPENDIX 2B. Association schemes and metrically regular graphs; 3 Steiner points and Veblen points; APPENDIX 3A. Steiner systems; 4 Edge-colourings of complete graphs; APPENDIX 4A. Latin squares, SDRs, and permanents; 5 Biplanes and metric regularity; APPENDIX 5A. Symmetric designs; 6 Automorphism groups; APPENDIX 6A. Multiply transitive groups; 7 Resolutions and partition systems |
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| genre | Vollständiger Entwurf. |
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| indexdate | 2024-11-27T13:25:17Z |
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| spelling | Cameron, Peter J. (Peter Jephson), 1947- https://id.oclc.org/worldcat/entity/E39PBJr7Wp9w9KWmP9RdFyM773 http://id.loc.gov/authorities/names/n81072709 Parallelisms of complete designs / Peter J. Cameron. Cambridge ; New York : Cambridge University Press, ©1976. 1 online resource (144 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 23 Includes bibliographical references (pages 138-142) and index. Print version record. These notes present an investigation of a condition similar to Euclid's parallel axiom for subsets of finite sets. The background material to the theory of parallelisms is introduced and the author then describes the links this theory has with other topics from the whole range of combinatorial theory and permutation groups. These include network flows, perfect codes, Latin squares, block designs and multiply-transitive permutation groups, and long and detailed appendices are provided to serve as introductions to these various subjects. Many of the results are published for the first time. Cover; Title; Copyright; Contents; Introduction; 1 The existence theorem; APPENDIX 1A. The Integrity Theorem for network flows; 2 The parallelogram property; APPENDIX 2A. The binary perfect code theorem; APPENDIX 2B. Association schemes and metrically regular graphs; 3 Steiner points and Veblen points; APPENDIX 3A. Steiner systems; 4 Edge-colourings of complete graphs; APPENDIX 4A. Latin squares, SDRs, and permanents; 5 Biplanes and metric regularity; APPENDIX 5A. Symmetric designs; 6 Automorphism groups; APPENDIX 6A. Multiply transitive groups; 7 Resolutions and partition systems Combinatorial designs and configurations. http://id.loc.gov/authorities/subjects/sh85028803 Permutation groups. http://id.loc.gov/authorities/subjects/sh85099993 Parallels (Geometry) http://id.loc.gov/authorities/subjects/sh85097831 Configurations et schémas combinatoires. Groupes de permutations. Parallèles (Géométrie) MATHEMATICS Geometry General. bisacsh Combinatorial designs and configurations fast Parallels (Geometry) fast Permutation groups fast Kombinatorik gnd http://d-nb.info/gnd/4031824-2 Parallelismus gnd http://d-nb.info/gnd/4247356-1 Vollständiger Entwurf. Print version: Cameron, Peter J. (Peter Jephson), 1947- Parallelisms of complete designs. Cambridge ; New York : Cambridge University Press, ©1976 0521211603 (DLC) 75032912 (OCoLC)1993131 London Mathematical Society lecture note series ; 23. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552450 Volltext |
| spellingShingle | Cameron, Peter J. (Peter Jephson), 1947- Parallelisms of complete designs / London Mathematical Society lecture note series ; Cover; Title; Copyright; Contents; Introduction; 1 The existence theorem; APPENDIX 1A. The Integrity Theorem for network flows; 2 The parallelogram property; APPENDIX 2A. The binary perfect code theorem; APPENDIX 2B. Association schemes and metrically regular graphs; 3 Steiner points and Veblen points; APPENDIX 3A. Steiner systems; 4 Edge-colourings of complete graphs; APPENDIX 4A. Latin squares, SDRs, and permanents; 5 Biplanes and metric regularity; APPENDIX 5A. Symmetric designs; 6 Automorphism groups; APPENDIX 6A. Multiply transitive groups; 7 Resolutions and partition systems Combinatorial designs and configurations. http://id.loc.gov/authorities/subjects/sh85028803 Permutation groups. http://id.loc.gov/authorities/subjects/sh85099993 Parallels (Geometry) http://id.loc.gov/authorities/subjects/sh85097831 Configurations et schémas combinatoires. Groupes de permutations. Parallèles (Géométrie) MATHEMATICS Geometry General. bisacsh Combinatorial designs and configurations fast Parallels (Geometry) fast Permutation groups fast Kombinatorik gnd http://d-nb.info/gnd/4031824-2 Parallelismus gnd http://d-nb.info/gnd/4247356-1 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85028803 http://id.loc.gov/authorities/subjects/sh85099993 http://id.loc.gov/authorities/subjects/sh85097831 http://d-nb.info/gnd/4031824-2 http://d-nb.info/gnd/4247356-1 |
| title | Parallelisms of complete designs / |
| title_auth | Parallelisms of complete designs / |
| title_exact_search | Parallelisms of complete designs / |
| title_full | Parallelisms of complete designs / Peter J. Cameron. |
| title_fullStr | Parallelisms of complete designs / Peter J. Cameron. |
| title_full_unstemmed | Parallelisms of complete designs / Peter J. Cameron. |
| title_short | Parallelisms of complete designs / |
| title_sort | parallelisms of complete designs |
| topic | Combinatorial designs and configurations. http://id.loc.gov/authorities/subjects/sh85028803 Permutation groups. http://id.loc.gov/authorities/subjects/sh85099993 Parallels (Geometry) http://id.loc.gov/authorities/subjects/sh85097831 Configurations et schémas combinatoires. Groupes de permutations. Parallèles (Géométrie) MATHEMATICS Geometry General. bisacsh Combinatorial designs and configurations fast Parallels (Geometry) fast Permutation groups fast Kombinatorik gnd http://d-nb.info/gnd/4031824-2 Parallelismus gnd http://d-nb.info/gnd/4247356-1 |
| topic_facet | Combinatorial designs and configurations. Permutation groups. Parallels (Geometry) Configurations et schémas combinatoires. Groupes de permutations. Parallèles (Géométrie) MATHEMATICS Geometry General. Combinatorial designs and configurations Permutation groups Kombinatorik Parallelismus Vollständiger Entwurf. |
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