3 papers
math.CO2021
Proper locally spherical hypertopes of hyperbolic type
Antonio Montero, Asia Ivić Weiss
Given any irreducible Coxeter group of hyperbolic type with non-linear diagram and rank at least , whose maximal parabolic subgroups are finite, we construct an infinite fam…
math.CO2020
Locally spherical hypertopes from generlised cubes
Antonio Montero, Asia Ivić Weiss
We show that every non-degenerate regular polytope can be used to construct a thin, residually-connected, chamber-transitive incidence geometry, i.e. a regular hypertope, with a ta…
math.GR2016
Highly symmetric hypertopes
Maria Elisa Fernandes, Dimitri Leemans, Asia Ivić Weiss
We study incidence geometries that are thin and residually connected. These geometries generalise abstract polytopes. In this generalised setting, guided by the ideas from the poly…