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math.GR2026
Abstract regular polytopes of in even characteristic
Malcolm Hoong Wai Chen
For every even prime power , we explicitly construct a rank five string C-group representation of the Chevalley simple group using its natural seven-dimensional matri…
math.GR2025
Abstract Regular Polytopes of Finite Irreducible Coxeter Groups
Malcolm Hoong Wai Chen, Peter Rowley
Here, for the Coxeter group where , it is proved that the maximal rank of an abstract regular polytope for is if is even and if is…