Bridges 2010 Short Paper

On Torsion Free Subgroups of p32 and Related Colored Tilings
Ma. Louise Antonette N. De Las Peñas, Eden Delight B. Provido and René P. Felix
(Proceedings pages 383–386)


In this paper, we discuss an approach in arriving at a torsion free subgroup of p32 - the group of orientation preserving isometries in a triangle group *p32, using color symmetries of its related tiling. We also present the relation that exists between torsion free subgroups of p32 and precise colorings of a 3p tiling. A group is said to be torsion free if all its nonidentity elements are of infinite order.