Title

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

Document Type

Article

Publication Date

2009

Abstract

This paper explores the area of crystallography on the hyperbolic plane, in particular the study of the subgroup structure of hyperbolic symmetry groups. In this work, the index 3 and 4 subgroups of triangle groups are derived, using color symmetry theory. This paper continues the work started in [7] on index 2 subgroups of hyperbolic symmetry groups.

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