4 papers
Commuting pairs in symplectic Lie algebras over finite fields of characteristic two
Liam May, Yong Yang
We find a generating function for the number of ordered commuting pairs of elements in a symplectic Lie algebra over a finite field of characteristic , following the analogous w…
Components of the Divisibility Graph of Finite Groups of Lie Type in Defining Characteristic
Liam May, Yong Yang
We determine the connected components of the divisibility graph of several families of finite groups of Lie type in defining characteristic , extending the result of Abdolghafou…
On Weil Polynomials of Hyperelliptic Curves over Finite Fields of Characteristic 2
Matvey Borodin, Liam May
We present new conditions which obstruct the existence of hyperelliptic Jacobians in isogeny classes of abelian varieties over finite fields of characteristic 2. We show that Weil…
Hyperelliptic Jacobians in Isogeny Classes of Abelian Threefolds Over Finite Fields
Matvey Borodin, Liam May
We present new criteria that obstruct an isogeny class of abelian varieties over a finite field with a given Weil polynomial from containing a Jacobian of a genus-3 hyperelliptic c…