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- W2034149191 abstract "If H is a hypermap with bit set B, a voltage assignment on H is simply a map z : B→Z , where Z is a group. If Z acts on a set X, and if z is a voltage assignment on H , then one constructs a ‘ramified covering’ H z (X)→ H such that in the category of ramified coverings of H , H z (X) and H z′ (X) are isomorphic whenever z and z ′ are equivalent voltages (but not conversely). A lifting criterion is given for an automorphism of H to lift to one of H z (X) and applied to give a simple and conceptual proof of the hypermap version of Accola's theorem for hypermaps. Finally, cohomological aspects of these constructions are given in terms of Machi's homology theory for hypermaps." @default.
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- W2034149191 date "2000-03-01" @default.
- W2034149191 modified "2023-09-30" @default.
- W2034149191 title "Liftings of automorphisms of hypermaps" @default.
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- W2034149191 doi "https://doi.org/10.1016/s0012-365x(99)00249-6" @default.
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