3 papers
math.GR2026
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…
math.GR2026
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…
math.GR2026
Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements
Ting Gong, Yong Yang, Michael Ruofan Zeng
For any distinct primes and , we prove that there is a finite group which does not embed into any finite group invariably generated by an element of order and an element…