A class of orientably‐regular embeddings of graphs of order p3

Yanhong Zhu, Shaofei Du, Xuesong Ma and Furong Wang

Applied Mathematics and Computation, 2023, vol. 442, issue C

Abstract: Let G be the automorphism group of an orientably regular embedding of a connected simple graph of order p3, where p is a prime. It was shown in [19] that except for the case when p=2 and G=S4, G contains a normal Sylow p-subgroup P of order pk where k∈{3,4,5}, while such embeddings with k=5 were determined. In this paper, a further classification is achieved for all such embeddings with k=3.

Keywords: Group and graphs; p-Group; Regular embedding; Arc-transitive (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:442:y:2023:i:c:s0096300322007755

DOI: 10.1016/j.amc.2022.127707

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