On Torsion Free Subgroups of p32 and Related Colored Tilings

Year: 2010 Authors: Ma. Louise Antonette N. De Las Peñas; Eden Delight B. Provido; René P. Felix

Core claim

A subgroup of p32 is torsion-free exactly when its permutation assignment is semi-regular, linking subgroup structure to precise colored tilings.

Topics

triangle groups, torsion-free subgroups, colored tilings, color symmetry, precise p-colorings

Domains

group theory, hyperbolic geometry, permutation groups, triangle groups, visualization, tiling patterns, color theory

Methods

permutation assignment, color symmetry theory, index subgroup enumeration, GAP computation

Media

hyperbolic plane tilings, colored triangle tessellations, CHP software, GAP

Source status

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