On subgroups of hyperbolic tetrahedral Coxeter groups

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 subgro...

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Bibliographic Details
Main Authors: De Las Peñas, Ma. Louise Antonette N, Felix, Rene P, Laigo, Glenn R
Format: text
Published: Archīum Ateneo 2010
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Online Access:https://archium.ateneo.edu/mathematics-faculty-pubs/136
https://www.degruyter.com/view/journals/zkri/225/8/article-p313.xml
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Institution: Ateneo De Manila University
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Summary: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.