Relative difference sets fixed by inversion and Cayley graphs

Y.Q. Chen, Cai-Heng Li

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)

    Abstract

    Using graph theoretical technique, we present a construction of a (30, 2, 29, 14)-relative difference set fixed by inversion in the smallest finite simple group-the alternating group A(5). To our knowledge this is the first example known of relative difference sets in the finite simple groups with a non-trivial forbidden subgroup. A connection is then established between some relative difference sets fixed by inversion and certain antipodal distance-regular Cayley graphs. With the connection, several families of antipodal distance-regular Cayley graphs which are coverings of complete graphs are presented. (c) 2005 Elsevier Inc. All rights reserved.
    Original languageEnglish
    Pages (from-to)165-173
    JournalJournal of Combinatorial Theory Series A
    Volume111
    Issue number1
    DOIs
    Publication statusPublished - 2005

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