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Parallelisms of Complete Designs

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Title: Parallelisms of Complete Designs
Description: 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.
Authors: Peter J. Cameron
Resource Type: eBook.
Subjects: Combinatorial designs and configurations, Permutation groups, Parallels (Geometry)
Categories: MATHEMATICS / Geometry / General
Database: eBook Collection (EBSCOhost)
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 552450
RelevancyScore: 959
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 959.155151367188
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  Data: Parallelisms of Complete Designs
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  Data: 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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  Data: <searchLink fieldCode="AR" term="%22Peter+J%2E+Cameron%22">Peter J. Cameron</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Combinatorial+designs+and+configurations%22">Combinatorial designs and configurations</searchLink><br /><searchLink fieldCode="DE" term="%22Permutation+groups%22">Permutation groups</searchLink><br /><searchLink fieldCode="DE" term="%22Parallels+%28Geometry%29%22">Parallels (Geometry)</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 516.13
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Combinatorial designs and configurations
        Type: general
      – SubjectFull: Permutation groups
        Type: general
      – SubjectFull: Parallels (Geometry)
        Type: general
    Titles:
      – TitleFull: Parallelisms of Complete Designs
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Peter J. Cameron
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            NameFull: Peter J. Cameron
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 1976
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521211604
            – Type: isbn-electronic
              Value: 9781107360846
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            – Type: volume
              Value: 00023
          Titles:
            – TitleFull: Parallelisms of Complete Designs
              Type: main
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