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  • Classification of finite groups that admit an oriented regular representation
    Morris, Joy
    This is the third, and last, of a series of papers dealing with oriented regular representations. Here we complete the classification of finite groups that admit an oriented regular representation ... (or ORR for short), and give a complete answer to a 1980 question of László Babai: "Which [finite] groups admit an oriented graph as a DRR"? It is easy to see and well understood that generalised dihedral groups do not admit ORRs. We prove that, with 11 small exceptions (having orders ranging from 8 to 64), every finite group that is not generalised dihedral has an ORR.
    Source: Bulletin of the London Mathematical Society. - ISSN 0024-6093 (Vol. 50, iss. 5, Oct. 2018, str. 811-831)
    Type of material - article, component part ; adult, serious
    Publish date - 2018
    Language - english
    COBISS.SI-ID - 18628953

    Link(s):

    https://doi.org/10.1112/blms.12177
    DOI

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