2 papers
math.GR2025
Testing chirality on hypertopes
Wei-Juan Zhang, Dimitri Leemans
In this paper we give group-theoretical conditions on the maximal parabolic subgroups of a coset geometry for it to be a chiral hypertope, bypassing the need to construct the incid…
math.CO2025
Regular 3-polytopes of type
Mingchao Li, Wei-Juan Zhang
For each integer \( n \geq 3 \), we construct a self-dual regular 3-polytope \( \mathcal{P} \) of type \( \{n, n\} \) with \( 2^n n \) flags, resolving two foundamental open questi…