3 papers
math.CO2021
Infinite families of hypertopes from centrally symmetric polytopes
Claudio Alexandre Piedade
We construct infinite families of abstract regular polytopes of type from extensions of centrally symmetric spherical abstract regular -polytopes. In…
math.GR2020
The Degrees Of Toroidal Regular Proper Hypermaps
Maria Elisa Fernandes, Claudio Alexandre Piedade
Recently the classification of all possible faithful transitive permutation representations of the group of symmetries of a regular toroidal map was accomplished. In this paper we…
math.AG2018
Faithful permutation representations of toroidal regular maps
Maria Elisa Fernandes, Claudio Alexandre Piedade
In this paper we list all possible degrees of a faithful transitive permutation representation of the group of symmetries of a regular map of types and and we g…