Lifting graph automorphisms by voltage assignments (Q1587915)
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scientific article; zbMATH DE number 1538575
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lifting graph automorphisms by voltage assignments |
scientific article; zbMATH DE number 1538575 |
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Lifting graph automorphisms by voltage assignments (English)
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3 December 2000
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The authors provide the first systematic combinatorial treatment of the automorphism lifting problem in the context of graphs. They make consistent use of several new fundamental concepts: the action of the fundamental groupoid, the notion of a voltage space, various kinds of invariance of voltage spaces, and the geometry of the lifted actions by means of transversals over a localization set. Some applications of these results to regular maps on surfaces are given.
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covering projection
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automorphism lifting problem
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fundamental groupoid
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voltage space
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regular maps on surfaces
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