New 2-closed groups that are not automorphism groups of digraphs

2023/12/03 by Bamberg, John, Giudici, Michael, Smith, Jacob Paul
#05C25 (Secondary) #20B25 (Primary) #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2312.01303

Abstract

In this paper we extend the construction of Giudici, Morgan and Zhou [arXiv:2110.07896] to give the first known examples of nonregular, 2-closed permutation groups of rank greater than 4 that are not the automorphism group of any digraph. We also show that this construction only gives examples for four particular primes.

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