arXiv subjects
Publications and source records attributed to Wendi Di.
A classification is given of regular, rotary, and birotary Cayley maps of which the vertex number is coprime to the valency. The classification is involved in constructions of new examples of interesting Cayley maps.
A finite generalized quadrangle $\cS$ is a Singer quadrangle if it has an automorphism group that acts sharply transitively on its points. In this paper, we introduce the notion of multipliers for a Singer quadrangle and study their basic properties. As an application, we show that a point-primitive automorphism group of a thick generalized quadrangle cannot have O'Nan-Scott type HS (holomorph simple), which answers an open problem in \cite{Bamberg 2019}.
A characterization is given of finite groups $H$ that have skew-morphisms of order coprime to the order $|H|$, and their skew-morphisms. A complete classification is then given of the automorphism groups and the underlying graphs of vertex-rotary core-free Hall Cayley maps.
In this paper, we completely determine the irreducible characters of the four families of Suzuki $p$-groups.
In this paper, when the order of $θ$ is even, we prove that there exists no central difference sets in $A_2(m,θ)$ and establish some non-existence results of central partial difference sets in $A_p(m,θ)$ with $p>2$. When the order of $θ$ is odd, we construct central difference sets in $A_2(m,θ)$. Furthermore, we give some reduced linking systems of difference sets in $A_2(m,θ)$ by using the difference sets we constructed. In the case $p>2$, we construct Latin square type central partial difference sets in $A_p(m,θ)$ by a similar method.