A 2-arc Transitive Hexavalent Nonnormal Cayley Graph on A 119

Bo Ling, Wanting Li and Bengong Lou
Additional contact information
Bo Ling: School of Mathematics and Computer Sciences, Yunnan Minzu University, Kunming 650031, China
Wanting Li: School of Mathematics and Computer Sciences, Yunnan Minzu University, Kunming 650031, China
Bengong Lou: School of Mathematics and Statistics, Yunnan University, Kunmin 650031, China

Mathematics, 2021, vol. 9, issue 22, 1-7

Abstract: A Cayley graph ? = Cay ( G , S ) is said to be normal if the base group G is normal in Aut ? . The concept of the normality of Cayley graphs was first proposed by M.Y. Xu in 1998 and it plays a vital role in determining the full automorphism groups of Cayley graphs. In this paper, we construct an example of a 2-arc transitive hexavalent nonnormal Cayley graph on the alternating group A 119 . Furthermore, we determine the full automorphism group of this graph and show that it is isomorphic to A 120 .

Keywords: simple group; nonnormal Cayley graph; arc-transitive graph; automorphism group (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/22/2935/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/22/2935/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:22:p:2935-:d:681704

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().