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Regular Homomorphisms and Regular Maps

✍ Scribed by Aleksander Malnič; Roman Nedela; Martin Škoviera

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
123 KB
Volume
23
Category
Article
ISSN
0195-6698

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✦ Synopsis

Regular homomorphisms of oriented maps essentially arise from a factorization by a subgroup of automorphisms. This kind of map homomorphism is studied in detail, and generalized to the case when the induced homomorphism of the underlying graphs is not valency preserving. Reconstruction is treated by means of voltage assignments on angles, a natural extension of the common assignments on darts. Lifting and projecting groups of automorphisms along regular homomorphisms is studied in some detail. Finally, the split-extension structure of lifted groups is analysed.

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