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Super-symmetric maps from dihedral groupsŠtefan Gyürki,
Ivona Hrivová,
Soňa Pavlíková, 2025, izvirni znanstveni članek
Opis: In 1976, S. Wilson proposed to study a family of regular self-dual and self-Petrie-dual maps arising from groups of order 8n^3 defined by a specific presentation. Later on, in 2014, D. Archdeacon, M. Conder and J. Širáň proved that these maps are super-symmetric, that is, not only exhibiting all self-dualities but also all admissible exponents. Furthermore, in 2016, G. A. Jones suggested that it should be possible to obtain the same family by the means of a parallel product of maps arising from 2-extensions of dihedral groups of order 2n. In this paper we verify this suggestion for odd values of n; for even n we show that the parallel product construction gives maps that are quotients of Wilson’s maps by a normal subgroup of order 2.
Ključne besede: regular map, duality, exponent, super-symmetry
Objavljeno v RUP: 21.10.2025; Ogledov: 1042; Prenosov: 9
Celotno besedilo (377,64 KB)
