Now showing items 1-4 of 4

    • On a conjecture of Alvis 

      Barry, Michael J. J.; Ward, Michael B. (Elsevier, 2005-12)
      We exhibit for each integer n 15 an ordinary irreducible character of the symmetric group Sn, which restricts irreducibly to An, with the property that its degree is divisible by every prime less than or equal to n, ...
    • Products of Sylow groups 

      Barry, Michael J. J.; Ward, Michael B. (Birkhäuser Verlag, 1994)
    • Simple Groups Contain Minimal Simple Groups 

      Barry, Michael J. J.; Ward, Michael B. (Universitat Autònoma de Barcelona, 1997)
      It is consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple group.
    • Two-Transitive Actions on Conjugacy Classes 

      Barry, Michael J. J.; Ward, Michael B. (Cambridge University Press, 1999)
      Every group acts transitively by conjugation on each of its conjugacy classes of elements. It is natural to wonder when this action becomes multiply transitive. In this paper, we determine all finite groups which act ...