New 2-closed groups that are not automorphism groups of digraphs
Group Theory
2025-06-16 v2 Combinatorics
Abstract
In this paper we extend the construction of Giudici, Morgan and Zhou [arXiv:2110.07896] to give the first known examples of nonregular, -closed permutation groups of rank greater than that are not the automorphism group of any digraph. We also show that this construction only gives examples for four particular primes.
Keywords
Cite
@article{arxiv.2312.01303,
title = {New 2-closed groups that are not automorphism groups of digraphs},
author = {John Bamberg and Michael Giudici and Jacob Paul Smith},
journal= {arXiv preprint arXiv:2312.01303},
year = {2025}
}