Nov 18, 2013 · Abstract:Generalising a conjecture of Singerman, it is shown that there exist orientably regular chiral hypermaps of every non-spherical ...
Nov 18, 2013 · Chiral covers of hypermaps. Gareth A. Jones. School of Mathematics. University of Southampton. Southampton SO17 1BJ, U.K.. G.A.Jones@maths.soton ...
Generalising a conjecture of Singerman, it is shown that there exist orientably regular chiral hypermaps of every non-spherical type.
The proof uses the representation theory of automorphism groups of Riemann surfaces acting on homology and on various spaces of differentials. Some examples are ...
Dec 1, 2009 · An orientably regular hypermap is totally chiral if it and its mirror image have no non-trivial common quotients. We classify the totally ...
We prove that if the Walsh bipartite map of a regular oriented hypermap is also orientably regular then both and have the same chirality group, the covering ...
Jan 29, 2012 · 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 ...
An orientably regular hypermap is totally chiral if it and its mirror image have no non-trivial common quotients. We classify the totally chiral hypermaps ...
[PDF] Chirality groups of maps and hypermaps - RIMS, Kyoto University
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May 1, 2008 · It is straightforward that H is chiral if and only if X(H) is nontrivial. There is a dual approach to the definition of the chirality group, ...
Chiral covers of hypermaps ; Contibutor(s). Jones, Gareth A. (author) ; Language. english ; Source. Ars mathematica contemporanea ; Year. 2015 ; Numbering. volume 8, ...