On subgroups of hyperbolic tetrahedral Coxeter groups-Reference-Cited by-同舟云学术

On subgroups of hyperbolic tetrahedral Coxeter groups

Published:2010-08 Issue:8 Volume:225 Page:313-338
ISSN:0044-2968
Container-title:Zeitschrift für Kristallographie
language:en
Short-container-title:

Author:

N. De Las Peñas Ma. Louise Antonette,Felix Rene P.¹,Laigo Glenn R.²

Affiliation:

1. University of the Philippines, Institute of Mathematics, Quezon City, Philippinen

2. Ateneo de Manila University, Mathematics Department, Quezon City, Philippinen

Abstract

Abstract In this work we address the problem on the determination of the subgroup structure of crystallographic groups in hyperbolic space by deriving the low index subgroups of hyperbolic tetrahedral Coxeter groups and tetrahedral Kleinian groups. This paper continues the work giv en in [5, 6] on the subgroups of triangle groups.

Publisher

Walter de Gruyter GmbH

Subject

Inorganic Chemistry,Condensed Matter Physics,General Materials Science

Link

https://www.degruyter.com/document/doi/10.1524/zkri.2010.1220/pdf

Reference16 articles.

1. The smallest arithmetic hyperbolic three-orbifold

2. Cusps, triangle groups and hyperbolic 3-folds

3. World-structure and non-Euclidean honeycombs

4. Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups

5. On index 2 subgroups of hyperbolic symmetry groups

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