On chirality groups and regular coverings of regular oriented hypermaps
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 1037-1047.

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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 (the smallest regular map covering M) is the Walsh bipartite map of the covering core of H and the closure cover of M (the 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=W1{6,3}b,c induced by the family of toroidal bipartite maps {6,3}b,c.
DOI : 10.1007/s10587-011-0046-6
Classification : 05C10, 05C25, 20B25, 20F65, 51E30, 57M07, 57M60
Mots-clés : hypermap; regular covering; chirality group; chirality index; toroidal hypermaps
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Breda d'Azevedo, Antonio; Rodrigues, Ilda Inácio; Fernandes, Maria Elisa. On chirality groups and regular coverings of regular oriented hypermaps. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 1037-1047. doi : 10.1007/s10587-011-0046-6. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-011-0046-6/

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