19-25 June 2011
Bled, Slovenia
Europe/Ljubljana timezone
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On chirality groups and the smallest and largest regular coverings of regular oriented hypermaps

Presented by Prof. Ilda INáCIO RODRIGUES
Type: Oral presentation
Track: Maps and Symmetries


In this talk, we prove that if the Walsh bipartite map M=W(H) of a regular oriented hypermap H is also orientably regular then both M and H have the same chirality group. The covering core of M (smallest regular map covering M) is the Walsh bipartite map of the covering core of H and the closure cover of M (greatest regular map covered by M) is the Walsh bipartite map of the closure cover of H. We apply these results to the family of toroidal chiral hypermaps (3,3,3)_{b,c}=W^(-1){6,3}_{b,c} induced by the family of toroidal bipartite maps {6,3}_{b,c}.


Location: Bled, Slovenia
Address: Best Western Hotel Kompas Bled

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