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Bibliographic Details
Main Authors:	Dey, Anakin, O'Neal, Kolton, Tran, Duc Van Khanh, Upshur, Camron, Yang, Yong
Format:	Preprint
Published:	2023
Subjects:	Group Theory
Online Access:	https://arxiv.org/abs/2308.13043
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Table of Contents:

Let $G$ be a finite solvable permutation group acting faithfully and primitively on a finite set $Ω$. Let $G_0$ be the stabilizer of a point $α\in Ω$ The rank of $G$ is defined as the number of orbits of $G_0$ in $Ω$, including the trivial orbit $\{α\}$. 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.