Geodesic
Regular self-dual and self-Petrie-dual maps of arbitrary valency
Ars mathematica contemporanea, Tome 16 (2019) no. 2, pp. 403-410 Cet article a éte moissonné depuis la source Ars Mathematica Contemporanea website

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The existence of a regular, self-dual and self-Petrie-dual map of any given even valency has been proved by D. Archdeacon, M. Conder and J. Širáň (2014). In this paper we extend this result to any odd valency ≥ 5. This is done using algebraic number theory and maps defined on the groups PSL(2, p) in the case of odd prime valency ≥ 5 and valency 9, and using coverings for the remaining odd valencies.
DOI : 10.26493/1855-3974.1749.84e
Keywords: Regular map, automorphism group, self-dual map, self-Petrie-dual map 
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     title = {
		{Regular} self-dual and {self-Petrie-dual} maps of arbitrary valency
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     journal = {Ars mathematica contemporanea},
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Jay Fraser; Olivia Jeans; Jozef Širáň. Regular self-dual and self-Petrie-dual maps of arbitrary valency. Ars mathematica contemporanea, Tome 16 (2019) no. 2, pp. 403-410. doi: 10.26493/1855-3974.1749.84e

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