Fully truncated simplices and their monodromy groups
-
Leah Wrenn Berman
,
DĂ©borah Oliveros
Abstract
We describe a simple way to manufacture faithful representations of the monodromy group of an n-polytope. This is used to determine the monodromy group for đť“Łn, the fully truncated n-simplex. As by-products, we get the minimal regular cover for đť“Łn, along with the analogous objects for a prism over a simplex.
Acknowledgements
We are most grateful to the Banff International Research Station for hosting two conferences related to discrete geometry (15w5019 and 15w2177) in February, 2015. While there, we profited greatly from the comments of Daniel Pellicer, Mark Mixer and several others. We also thank the referee for many useful comments. This project began under the marvelous backdrop of the Kaleidoscope Conference in honour of Javier Bracho, Ixtapa, MĂ©xico, May, 2014.
Funding: The first author was supported by a grant from the Simons Foundation (#S15060 to L. Berman). The second author was supported in part by the NSERC of Canada Discovery Grant # 4818. The third author wishes to acknowledge support from grant projects PAPIIT 104915 and CONACyT 166306.
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Negative refraction and tiling billiards
- Classification of degree two curves in the symmetric square with positive self-intersection
- On lattice coverings by simplices
- On CMC hypersurfaces in 𝕊n+1 with constant Gauß–Kronecker curvature
- Fully truncated simplices and their monodromy groups
- Lie algebras of conservation laws of variational partial differential equations
- Feet in orthogonal-Buekenhout–Metz unitals
- Pseudo-metric 2-step nilpotent Lie algebras
Articles in the same Issue
- Frontmatter
- Negative refraction and tiling billiards
- Classification of degree two curves in the symmetric square with positive self-intersection
- On lattice coverings by simplices
- On CMC hypersurfaces in 𝕊n+1 with constant Gauß–Kronecker curvature
- Fully truncated simplices and their monodromy groups
- Lie algebras of conservation laws of variational partial differential equations
- Feet in orthogonal-Buekenhout–Metz unitals
- Pseudo-metric 2-step nilpotent Lie algebras
