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

Publication Details

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Repository of the University of Primorsk (University of Primorska)
Published
2025-05-09
Primary Topic
Finite Group Theory Research
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article
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Supersimetrične preslikave iz diedrskih grup

Repository of the University of Primorsk (University of Primorska)
Finite Group Theory Research
article

Supersimetrične preslikave iz diedrskih grup

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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

Repository of the University of Primorsk (University of Primorska)
Openalex Percentile: Top 22%
Finite Group Theory Research
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Supersimetrične preslikave iz diedrskih grup · Repository of the University of Primorsk (University of Primorska) (2025) | TGRS Research Map | TGRS