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

John Bamberg; Michael Giudici; Jacob Smith

doi:10.5802/alco.392

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

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we extend the construction of Giudici, Morgan and Zhou 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.

Original language	English
Pages (from-to)	1793-1811
Number of pages	19
Journal	Algebraic Combinatorics
Volume	7
Issue number	6
Early online date	2024
DOIs	https://doi.org/10.5802/alco.392
Publication status	Published - 7 Jan 2025

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https://arxiv.org/abs/2312.01303Licence: CC BY-NC-ND

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title = "New 2-closed groups that are not automorphism groups of digraphs",

abstract = "In this paper we extend the construction of Giudici, Morgan and Zhou 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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AU - Smith, Jacob

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N2 - In this paper we extend the construction of Giudici, Morgan and Zhou 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.

AB - In this paper we extend the construction of Giudici, Morgan and Zhou 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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KW - 2-closed

KW - digraph

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DO - 10.5802/alco.392

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JO - Algebraic Combinatorics

JF - Algebraic Combinatorics

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

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