Now showing items 1-2 of 2

    • An analogue of Vosper's theorem for extension fields 

      Bachoc, Christine; Serra Albó, Oriol; Zemor, Gilles (2017-11-01)
      Article
      Open Access
      We are interested in characterising pairs S, T of F-linear subspaces in a field extension L/F such that the linear span ST of the set of products of elements of S and of elements of T has small dimension. Our central result ...
    • Revisiting Kneser’s theorem for field extensions 

      Bachoc, Christine; Serra Albó, Oriol; Zemor, Gilles (2017-05-31)
      Article
      Open Access
      A Theorem of Hou, Leung and Xiang generalised Kneser’s addition Theorem to field extensions. This theorem was known to be valid only in separable extensions, and it was a conjecture of Hou that it should be valid for all ...