The existence of a regular, self-dual and self-Petrie-dual map of any given even valency has been proved by D. Archdeacon et al. Trans. Am. Math. Soc. 366, No. 8, 4491--4512 (2014). In this paper we extend this result to any odd valency ?$\geq 5$?. This is done using algebraic number theory and maps defined on the groups ?$\mathrm{PSL}(2, p)$? in the case of odd prime valency ?$\geq 5$? and valency 9, and using coverings for the remaining odd valencies.

Rights

URN

URN:NBN:SI:DOC-K94P6FRJ

COBISSID

18793049

Added

29.05.2020

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Citation

APA:

Fraser, Jay, Jeans, Olivia, Širan, Jozef (2019). Regular self-dual and self-Petrie-dual maps of arbitrary valency. Ars mathematica contemporanea, volume 16, issue 2, str. 403-410. URN:NBN:SI:DOC-K94P6FRJ from http://www.dlib.si

MLA:

Fraser, Jay, Jeans, Olivia, Širan, Jozef. "Regular self-dual and self-Petrie-dual maps of arbitrary valency." Ars mathematica contemporanea volume 16. issue 2 (2019) str. 403-410.
<http://www.dlib.si/?URN=URN:NBN:SI:DOC-K94P6FRJ>

Ars mathematica contemporanea
2008-
(Assembly record)