Association Schemes with at Most Two Nonlinear Irreducible Characters and Applications to Finite Groups View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-04

AUTHORS

Javad Bagherian

ABSTRACT

An irreducible character χ of an association scheme is called nonlinear if the multiplicity of χ is greater than 1. The main result of this paper gives a characterization of commutative association schemes with at most two nonlinear irreducible characters. This yields a characterization of finite groups with at most two nonlinear irreducible characters. A class of noncommutative association schemes with at most two nonlinear irreducible character is also given. More... »

PAGES

481-493

References to SciGraph publications

  • 2003-07. Irreducible Representations of Wreath Products of Association Schemes in JOURNAL OF ALGEBRAIC COMBINATORICS
  • 1978-06. Some conditions which almost characterize Frobenius groups in ISRAEL JOURNAL OF MATHEMATICS
  • 1996. An Algebraic Approach to Association Schemes in NONE
  • 2003-09. Characters of Association Schemes and Normal Closed Subsets in GRAPHS AND COMBINATORICS
  • 1984-12. Generalized Frobenius groups in ISRAEL JOURNAL OF MATHEMATICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10114-018-7072-3

    DOI

    http://dx.doi.org/10.1007/s10114-018-7072-3

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1111501065


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Pure Mathematics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "University of Isfahan", 
              "id": "https://www.grid.ac/institutes/grid.411750.6", 
              "name": [
                "Department of Mathematics, University of Isfahan, 81746-73441, Isfahan, Iran"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Bagherian", 
            "givenName": "Javad", 
            "id": "sg:person.013211437551.47", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013211437551.47"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1016/j.jalgebra.2009.01.006", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001490719"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1025117409460", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007780971", 
              "https://doi.org/10.1023/a:1025117409460"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1025117409460", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007780971", 
              "https://doi.org/10.1023/a:1025117409460"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bfb0097032", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008497525", 
              "https://doi.org/10.1007/bfb0097032"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bfb0097032", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008497525", 
              "https://doi.org/10.1007/bfb0097032"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1515/9783110809237", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012767387"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0002-9939-07-08835-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017827391"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0002-9939-1968-0222160-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024837241"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/00927872.2014.900688", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037415531"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.jalgebra.2004.10.009", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039762451"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.jcta.2007.05.007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040984609"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00373-002-0512-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042392422", 
              "https://doi.org/10.1007/s00373-002-0512-x"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.jcta.2010.09.007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043129993"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02760510", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047424338", 
              "https://doi.org/10.1007/bf02760510"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.ejc.2008.07.008", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051233488"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02760546", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052075714", 
              "https://doi.org/10.1007/bf02760546"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2019-04", 
        "datePublishedReg": "2019-04-01", 
        "description": "An irreducible character \u03c7 of an association scheme is called nonlinear if the multiplicity of \u03c7 is greater than 1. The main result of this paper gives a characterization of commutative association schemes with at most two nonlinear irreducible characters. This yields a characterization of finite groups with at most two nonlinear irreducible characters. A class of noncommutative association schemes with at most two nonlinear irreducible character is also given.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s10114-018-7072-3", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1040372", 
            "issn": [
              "1439-8516", 
              "1439-7617"
            ], 
            "name": "Acta Mathematica Sinica, English Series", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "4", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "35"
          }
        ], 
        "name": "Association Schemes with at Most Two Nonlinear Irreducible Characters and Applications to Finite Groups", 
        "pagination": "481-493", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "be1e075cc8a12475927fc2172dddc37537e5d7d793263cf2fd15d90857357e57"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s10114-018-7072-3"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1111501065"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s10114-018-7072-3", 
          "https://app.dimensions.ai/details/publication/pub.1111501065"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T13:05", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000366_0000000366/records_112074_00000000.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1007%2Fs10114-018-7072-3"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s10114-018-7072-3'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s10114-018-7072-3'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10114-018-7072-3'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10114-018-7072-3'


     

    This table displays all metadata directly associated to this object as RDF triples.

    108 TRIPLES      21 PREDICATES      41 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s10114-018-7072-3 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author Nda3303cd27174718b3909ed70811f277
    4 schema:citation sg:pub.10.1007/bf02760510
    5 sg:pub.10.1007/bf02760546
    6 sg:pub.10.1007/bfb0097032
    7 sg:pub.10.1007/s00373-002-0512-x
    8 sg:pub.10.1023/a:1025117409460
    9 https://doi.org/10.1016/j.ejc.2008.07.008
    10 https://doi.org/10.1016/j.jalgebra.2004.10.009
    11 https://doi.org/10.1016/j.jalgebra.2009.01.006
    12 https://doi.org/10.1016/j.jcta.2007.05.007
    13 https://doi.org/10.1016/j.jcta.2010.09.007
    14 https://doi.org/10.1080/00927872.2014.900688
    15 https://doi.org/10.1090/s0002-9939-07-08835-1
    16 https://doi.org/10.1090/s0002-9939-1968-0222160-x
    17 https://doi.org/10.1515/9783110809237
    18 schema:datePublished 2019-04
    19 schema:datePublishedReg 2019-04-01
    20 schema:description An irreducible character χ of an association scheme is called nonlinear if the multiplicity of χ is greater than 1. The main result of this paper gives a characterization of commutative association schemes with at most two nonlinear irreducible characters. This yields a characterization of finite groups with at most two nonlinear irreducible characters. A class of noncommutative association schemes with at most two nonlinear irreducible character is also given.
    21 schema:genre research_article
    22 schema:inLanguage en
    23 schema:isAccessibleForFree true
    24 schema:isPartOf N00b05551342747ce9a168ee50cd4c4bf
    25 N17d2ff4110c44bc48c1f6f41f896b62f
    26 sg:journal.1040372
    27 schema:name Association Schemes with at Most Two Nonlinear Irreducible Characters and Applications to Finite Groups
    28 schema:pagination 481-493
    29 schema:productId N869a7585aac641c7830706a9a106ac95
    30 Nc47d9916143441bc8f7fa3c27767fdfd
    31 Nd2afa907a43940a5a80aff5868ab4f56
    32 schema:sameAs https://app.dimensions.ai/details/publication/pub.1111501065
    33 https://doi.org/10.1007/s10114-018-7072-3
    34 schema:sdDatePublished 2019-04-11T13:05
    35 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    36 schema:sdPublisher N5cc3a99fbedd4e8e9221e04fb51a9594
    37 schema:url https://link.springer.com/10.1007%2Fs10114-018-7072-3
    38 sgo:license sg:explorer/license/
    39 sgo:sdDataset articles
    40 rdf:type schema:ScholarlyArticle
    41 N00b05551342747ce9a168ee50cd4c4bf schema:issueNumber 4
    42 rdf:type schema:PublicationIssue
    43 N17d2ff4110c44bc48c1f6f41f896b62f schema:volumeNumber 35
    44 rdf:type schema:PublicationVolume
    45 N5cc3a99fbedd4e8e9221e04fb51a9594 schema:name Springer Nature - SN SciGraph project
    46 rdf:type schema:Organization
    47 N869a7585aac641c7830706a9a106ac95 schema:name readcube_id
    48 schema:value be1e075cc8a12475927fc2172dddc37537e5d7d793263cf2fd15d90857357e57
    49 rdf:type schema:PropertyValue
    50 Nc47d9916143441bc8f7fa3c27767fdfd schema:name dimensions_id
    51 schema:value pub.1111501065
    52 rdf:type schema:PropertyValue
    53 Nd2afa907a43940a5a80aff5868ab4f56 schema:name doi
    54 schema:value 10.1007/s10114-018-7072-3
    55 rdf:type schema:PropertyValue
    56 Nda3303cd27174718b3909ed70811f277 rdf:first sg:person.013211437551.47
    57 rdf:rest rdf:nil
    58 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    59 schema:name Mathematical Sciences
    60 rdf:type schema:DefinedTerm
    61 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    62 schema:name Pure Mathematics
    63 rdf:type schema:DefinedTerm
    64 sg:journal.1040372 schema:issn 1439-7617
    65 1439-8516
    66 schema:name Acta Mathematica Sinica, English Series
    67 rdf:type schema:Periodical
    68 sg:person.013211437551.47 schema:affiliation https://www.grid.ac/institutes/grid.411750.6
    69 schema:familyName Bagherian
    70 schema:givenName Javad
    71 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013211437551.47
    72 rdf:type schema:Person
    73 sg:pub.10.1007/bf02760510 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047424338
    74 https://doi.org/10.1007/bf02760510
    75 rdf:type schema:CreativeWork
    76 sg:pub.10.1007/bf02760546 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052075714
    77 https://doi.org/10.1007/bf02760546
    78 rdf:type schema:CreativeWork
    79 sg:pub.10.1007/bfb0097032 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008497525
    80 https://doi.org/10.1007/bfb0097032
    81 rdf:type schema:CreativeWork
    82 sg:pub.10.1007/s00373-002-0512-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1042392422
    83 https://doi.org/10.1007/s00373-002-0512-x
    84 rdf:type schema:CreativeWork
    85 sg:pub.10.1023/a:1025117409460 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007780971
    86 https://doi.org/10.1023/a:1025117409460
    87 rdf:type schema:CreativeWork
    88 https://doi.org/10.1016/j.ejc.2008.07.008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051233488
    89 rdf:type schema:CreativeWork
    90 https://doi.org/10.1016/j.jalgebra.2004.10.009 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039762451
    91 rdf:type schema:CreativeWork
    92 https://doi.org/10.1016/j.jalgebra.2009.01.006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001490719
    93 rdf:type schema:CreativeWork
    94 https://doi.org/10.1016/j.jcta.2007.05.007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040984609
    95 rdf:type schema:CreativeWork
    96 https://doi.org/10.1016/j.jcta.2010.09.007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043129993
    97 rdf:type schema:CreativeWork
    98 https://doi.org/10.1080/00927872.2014.900688 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037415531
    99 rdf:type schema:CreativeWork
    100 https://doi.org/10.1090/s0002-9939-07-08835-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017827391
    101 rdf:type schema:CreativeWork
    102 https://doi.org/10.1090/s0002-9939-1968-0222160-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1024837241
    103 rdf:type schema:CreativeWork
    104 https://doi.org/10.1515/9783110809237 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012767387
    105 rdf:type schema:CreativeWork
    106 https://www.grid.ac/institutes/grid.411750.6 schema:alternateName University of Isfahan
    107 schema:name Department of Mathematics, University of Isfahan, 81746-73441, Isfahan, Iran
    108 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...