| Title: | Super-symmetric maps from dihedral groups |
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| Authors: | ID Gyürki, Štefan (Author)
ID Hrivová, Ivona (Author)
ID Pavlíková, Soňa (Author) |
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| Files: |  AMC_Gyurki,Hrivova,Pavlikova_2025.pdf (377,64 KB)
MD5: 2C4AE419DD7034BFAFBED05080A81458
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | ZUP - University of Primorska Press
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| Abstract: | 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. |
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| Keywords: | regular map, duality, exponent, super-symmetry |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 09.05.2025 |
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| Publisher: | Založba Univerze na Primorskem |
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| Year of publishing: | 2025 |
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| Number of pages: | 16 str. |
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| Numbering: | Vol. 25, no. 3, [article no.] P3.03 |
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| PID: | 20.500.12556/RUP-21998  |
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| UDC: | 51 |
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| eISSN: | 1855-3974 |
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| DOI: | https://doi.org/10.26493/1855-3974.3078.b06 |
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| Publication date in RUP: | 21.10.2025 |
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| Views: | 302 |
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| Downloads: | 1 |
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