Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 1, pp. 1-18
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Margaret Rosemary Stanier; Margaret Rosemary Stanier. Regular coverings and parallel products of Farey maps. Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 1, pp. 1-18. http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a0/
@article{AMUC_2022_91_1_a0,
author = {Margaret Rosemary Stanier and Margaret Rosemary Stanier},
title = { Regular coverings and parallel products of {Farey} maps},
journal = {Acta mathematica Universitatis Comenianae},
pages = {1--18},
year = {2022},
volume = {91},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a0/}
}
TY - JOUR
AU - Margaret Rosemary Stanier
AU - Margaret Rosemary Stanier
TI - Regular coverings and parallel products of Farey maps
JO - Acta mathematica Universitatis Comenianae
PY - 2022
SP - 1
EP - 18
VL - 91
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a0/
ID - AMUC_2022_91_1_a0
ER -
%0 Journal Article
%A Margaret Rosemary Stanier
%A Margaret Rosemary Stanier
%T Regular coverings and parallel products of Farey maps
%J Acta mathematica Universitatis Comenianae
%D 2022
%P 1-18
%V 91
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a0/
%F AMUC_2022_91_1_a0
We examine the structure of Farey maps, which are a class of maps (graph embeddings on surfaces) that have received significant attention recently. We describe how they are related to each other through coverings and parallel products, and use these observations to find their complete spectra, recovering some known results. We then examine a similar class of maps defined by Hecke groups.
