Groups of order at most 6,000 generated by two elements, one of which is an involution, and related structures

P. Potočnik, P. Spiga, Gabriel Verret

    Research output: Chapter in Book/Conference paperConference paperpeer-review

    2 Citations (Scopus)

    Abstract

    © Springer International Publishing Switzerland 2016. A (2,*)-group is a group that can be generated by two elements, one of which is an involution.We describe the method we have used to produce a census of all (2,*)-groups of order at most 6,000. Various well-known combinatorial structures are closely related to (2,*)-groups and we also obtain censuses of these as a corollary.
    Original languageEnglish
    Title of host publicationSymmetries in Graphs, Maps, and Polytopes
    EditorsJozef Širáň, Robert Jajcay
    PublisherSpringer
    Pages273-286
    Number of pages14
    ISBN (Print)9783319304496
    DOIs
    Publication statusPublished - 2016
    Event5th Workshop on Symmetries in Graphs, Maps, and Polytopes - Malvern , United Kingdom
    Duration: 7 Jul 201411 Jul 2014

    Publication series

    NameSpringer Proceedings in Mathematics and Statistics
    Volume159
    ISSN (Print)2194-1009
    ISSN (Electronic)2194-1017

    Conference

    Conference5th Workshop on Symmetries in Graphs, Maps, and Polytopes
    Country/TerritoryUnited Kingdom
    CityMalvern
    Period7/07/1411/07/14

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