Claudio Alexandre Piedade

activity

20182026

collaborators

Showing 2024Show all

2 papers · 1 filter

math.CO2024

Regular polytopes of rank $n /2$ for transitive groups of degree $n$

Maria Elisa Fernandes, Claudio Alexandre Piedade

Previous research established that the maximal rank of the abstract regular polytopes whose automorphism group is a transitive proper subgroup of $\mbox{S}_n$ is $n /2 + 1$ . Up to i…

math.CO2024

Constructing new geometries: a generalized approach to halving for hypertopes

Claudio Alexandre Piedade, Philippe Tranchida

Given a residually connected incidence geometry $Γ$ that satisfies two conditions, denoted $(B_{1})$ and $(B_{2})$ , we construct a new geometry $H (Γ)$ with properties similar to those…

Regular polytopes of rank n/2 for transitive groups of degree n

Constructing new geometries: a generalized approach to halving for hypertopes

Regular polytopes of rank $n /2$ for transitive groups of degree $n$