Junyao Pan

activity

20202024

collaborators

3 papers

math.CO2024

On a conjecture about pattern avoidance of cycle permutations

Junyao Pan

Let $π$ be a cycle permutation that can be expressed as one-line $π = π_{1} π_{2} \cdot \cdot \cdot π_{n}$ and a cycle form $π = (c_{1}, c_{2}, ..., c_{n})$ . Archer et al. introduced the notion of p…

math.GM2021

Two Identities

Junyao Pan

In the process of studying a conjecture of Holly M. Green and Martin W. Liebeck, we obtain two interesting identities by elementary methods, one is a combinatorial identity, and th…

math.GR2020

The generating pairs of the 2-transitive groups

Junyao Pan

Given a finite group $G$ . The generating pair $(H, a)$ of $G$ , that is, $H < G$ and $a \in G$ such that $⟨ a, H ⟩ = G$ . In this paper, we introduce the definition of FF-subgrou…