•  55
    Nilpotent Symplectic Alternating Algebras
    Dissertation, University of Bath. 2015.
    We develop a structure theory for nilpotent symplectic alternating algebras. We then give a classification of all nilpotent symplectic alternating algebras of dimension up to 10 over any field F. The study reveals a new subclasses of powerful groups that we call powerfully nilpotent groups and powerfully soluble groups.
  •  59
    Nilpotent Symplectic Alternating Algebras I
    with G. Traustason
    Journal of Algebra 423 615-635. 2015.
    We develop a structure theory for nilpotent symplectic alternating algebras.
  •  51
    Nilpotent symplectic alternating algebras II
    with G. Traustason
    International Journal of Algebra and Comp 26 1071-1094. 2016.
    In this paper and its sequel we continue our study of nilpotent symplectic alternating algebras. In particular we give a full classification of such algebras of dimension 10 over any field. It is known that symplectic alternating algebras over GF(3) correspond to a special rich class C of 2-Engel 3-groups of exponent 27 and under this correspondence we will see that the nilpotent algebras correspond to a subclass of C that are those groups in C that have an extra group theoretical property that …Read more