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  • Journal article
    Giudici M, Liebeck MW, Praeger CE, Saxl J, Pham HTet al., 2015,

    , Transactions of the American Mathematical Society, Vol: 368, Pages: 2415-2467, ISSN: 1088-6850
  • Journal article
    Amato D, Evans DM, 2015,

    , Journal of Combinatorial Theory Series B, Vol: 114, Pages: 33-50, ISSN: 1096-0902

    We give certain properties which are satisfied by the descendant set of a vertex in an infinite, primitive, distance transitive digraph of finite out-valency and provide a strong structure theory for digraphs satisfying these properties. In particular, we show that there are only countably many possibilities for the isomorphism type of such a descendant set, thereby confirming a conjecture of the first Author. As a partial converse, we show that certain related conditions on a countable digraph are sufficient for it to occur as the descendant set of a primitive, distance transitive digraph.
  • Journal article
    Liebeck MW, 2015,

    , JOURNAL OF ALGEBRA, Vol: 421, Pages: 431-437, ISSN: 0021-8693
  • Journal article
    Liebeck MW, Shalev A, 2015,

    , JOURNAL OF ALGEBRA, Vol: 421, Pages: 438-459, ISSN: 0021-8693
    • Cite
    • Citations: 11
  • Journal article
    Liebeck MW, Shalev A, 2014,

    , PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol: 142, Pages: 3757-3760, ISSN: 0002-9939
  • Journal article
    Lawther R, Liebeck MW, Seitz GM, 2014,

    , PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, Vol: 109, Pages: 553-595, ISSN: 0024-6115
  • Journal article
    Liebeck MW, Shalev A, 2014,

    , JOURNAL OF ALGEBRA, Vol: 403, Pages: 223-228, ISSN: 0021-8693
  • Journal article
    Liebeck MW, Shalev A, 2013,

    POWERS IN FINITE GROUPS AND A CRITERION FOR SOLUBILITY

    , PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol: 141, Pages: 4179-4189, ISSN: 0002-9939
  • Journal article
    Burness TC, Liebeck MW, Shalev A, 2013,

    , ADVANCES IN MATHEMATICS, Vol: 248, Pages: 59-95, ISSN: 0001-8708
  • Journal article
    Jambor S, Liebeck MW, O'Brien EA, 2013,

    , BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, Vol: 45, Pages: 907-910, ISSN: 0024-6093

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