On chirality groups and regular coverings of regular oriented hypermaps
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- 作者：Antonio Breda d鈥橝zevedo (1) breda@ua.pt
Ilda In谩cio Rodrigues (2) ilda@ubi.pt
Maria Elisa Fernandes (1) maria.elisa@ua.ptz - 关键词：hypermap – ; regular covering – ; chirality group – ; chirality index – ; toroidal hypermaps
- 刊名：Czechoslovak Mathematical Journal
- 出版时间：December 2011
- 出版年：2011
- 期刊代码：8_00114642
- 类别：ear
- 卷：61
- 期：4
- 页码：1037-1047
- 数据来源：sp
摘要
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 = W −1{6, 3} b,c induced by the family of toroidal bipartite maps {6, 3} b,c .