The 24 symmetry pairings of self-dual maps on the sphere

Given a self-dual map on the sphere, the collection of its self-dual permutations generates a transformation group in which the map automorphism group appears as a subgroup of index two. A careful examination of this pairing yields direct constructions of self-dual maps and provides a classification...

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Bibliographic Details
Published in:Discrete mathematics 1995-06, Vol.140 (1), p.167-183
Main Authors: Servatius, Brigitte, Servatius, Herman
Format: Article
Language:English
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Summary:Given a self-dual map on the sphere, the collection of its self-dual permutations generates a transformation group in which the map automorphism group appears as a subgroup of index two. A careful examination of this pairing yields direct constructions of self-dual maps and provides a classification of self-dual maps.
ISSN:0012-365X
1872-681X
DOI:10.1016/0012-365X(94)00293-R