Akademska digitalna zbirka SLovenije - logo
ALL libraries (COBIB.SI union bibliographic/catalogue database)
PDF
  • Every finite non-solvable group admits an oriented regular representation
    Morris, Joy ; Spiga, Pablo
    In this paper we give a partial answer to a question of L. Babai [Period. Math. Hung. 11, 257--270 (1980)]: "Which [finite] groups admit an oriented graph as a DRR?" That is, which finite groups ... admit an oriented regular representation (ORR)? We show that every finite non-solvable group admits an ORR, and provide a tool that may prove useful in showing that some families of finite solvable groups admit ORRs. We also completely characterize all finite groups that can be generated by at most three elements, according to whether or not they admit ORRs.
    Source: Journal of combinatorial theory. Series B. - ISSN 0095-8956 (Vol. 126, Sep. 2017, str. 198-234)
    Type of material - article, component part ; adult, serious
    Publish date - 2017
    Language - english
    COBISS.SI-ID - 18637401

    Link(s):

    https://doi.org/10.1016/j.jctb.2017.05.003
    DOI

Shelf entry