Add to ORKGWe describe the smallest $C$-groups with complete diagram whose rank 3 residues are hypermaps of type $(n,n,n)$. It turns out that these $C$-groups are not hypertopes, indeed all rank 3 residues fail to be thin. We then focus on rank 3 regular hypertopes. A characterization of thiness will be given and some infinite families of ``small'' rank 3 regular hypertopes of type $(n,n,n)$ will arise. This is a joint work with Michael Giudici.Non UBCUnreviewedAuthor affiliation: University of AveiroFacult
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We describe the smallest $C$-groups with complete diagram whose rank 3 residues are hypermaps of typ...
This paper documents a computer-assisted procedure for rigorously analyzing small hyper-bolic 3-mani...
For some small groups, we give, up to isomorphism, an exhaustive list of all residually connected th...
For any positive integers n,s,t,l such that n≥10, s,t≥2, l≥1 and n≥s+t+l, a new infinite family of r...
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In this thesis we use triangle groups and their subgroups to investigate properties of hypermaps. Th...
We give presentations for the C-groups of rank n−1 of the symmetric group Sn. We also classify C-gro...
Using representations of triangle groups in 3-dimensional orthogonal groups over algebraic number fi...
Preface Regular maps and hypermaps are cellular decompositions of closed sur-faces exhibiting the hi...
Pseudo-orientable maps were introduced by Wilson in 1976 to describe non-orientable regular maps fo...
Hypertope is a generalization of the concept of polytope, which in turn generalizes the concept of a...
This thesis is concerned with hyperbolic 3-orbifolds of small volume. An n-orbifold is a space which...
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