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pro vyhledávání: '"Jeans, Olivia"'
Autor:
Jeans, Olivia, Širáň, Jozef
An edge-biregular map arises as a smooth normal quotient of a unique index-two subgroup of a full triangle group acting with two edge-orbits. We give a classification of all finite edge-biregular maps on surfaces of negative prime Euler characteristi
Externí odkaz:
http://arxiv.org/abs/2011.00322
Autor:
Jeans, Olivia Reade
We introduce the concept of alternate-edge-colourings for maps, and study highly symmetric examples of such maps. Edge-biregular maps of type $(k,l)$ occur as smooth normal quotients of a particular index two subgroup of $T_{k,l}$, the full triangle
Externí odkaz:
http://arxiv.org/abs/2010.15743
The main result of D. Archdeacon, M. Conder and J. \v{S}ir\'a\v{n} [Trans. Amer. Math. Soc. 366 (2014) 8, 4491-4512] implies existence of a regular, self-dual and self-Petrie dual map of any given even valency. In this paper we extend this result to
Externí odkaz:
http://arxiv.org/abs/1807.11692
Regular maps on linear fractional groups $PSL(2,q)$ and $PGL(2,q$) have been studied for many years and the theory is well-developed, including generating sets for the asscoiated groups. This paper studies the properties of self-duality, self-Petrie-
Externí odkaz:
http://arxiv.org/abs/1807.11307
Publikováno v:
The Art of Discrete and Applied Mathematics. 3:#P1.03
Regular maps on linear fractional groups PSL(2, q) and PGL(2, q) have been studied for many years and the theory is well-developed, including generating sets for the associated groups. This paper studies the properties of self-duality, self-Petrie-du
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