20.500.12556/RUP-21998 Super-symmetric maps from dihedral groups Supersimetrične preslikave iz diedrskih grup 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. regular map duality exponent super-symmetry regularna preslikava dualnost eksponent supersimetrija true false true Založba Univerze na Primorskem Angleški jezik Slovenski jezik Članek v reviji 2025-10-21 23:09:43 2025-10-21 23:09:44 2025-11-13 03:03:26 0000-00-00 00:00:00 2025 0 0 16 str. no. 3, [article no.] P3.03 Vol. 25 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-05-09 51 1855-3974 https://doi.org/10.26493/1855-3974.3078.b06 AMC_Gyurki,Hrivova,Pavlikova_2025.pdf AMC_Gyurki,Hrivova,Pavlikova_2025.pdf 1 2C4AE419DD7034BFAFBED05080A81458 7a3f10ce49a0faf63b17ad98cecdcf18fff0660b09a81ed090e72ce6965785e7 1b92d6f7-aec3-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=31933 Založba Univerze na Primorskem 0 0 0