Classifying Primitive Solvable Permutation Groups of Rank 5 and 6

Autor: Dey, Anakin, O'Neal, Kolton, Tran, Duc Van Khanh, Upshur, Camron, Yang, Yong
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: Let $G$ be a finite solvable permutation group acting faithfully and primitively on a finite set $\Omega$. Let $G_0$ be the stabilizer of a point $\alpha \in \Omega$ The rank of $G$ is defined as the number of orbits of $G_0$ in $\Omega$, including the trivial orbit $\{\alpha\}$. In this paper, we completely classify the cases where $G$ has rank 5 and 6, continuing the previous works on classifying groups of rank 4 or lower.
Databáze: arXiv