On Non-perfect Colorings Arising from Index 4 Subgroups
Document Type
Article
Publication Date
2003
Abstract
For a non-perfect coloring corresponding to the decomposition of the form G = Uti=1 UhεHhJiYi of the symmetry group G of an uncolored pattern, where J1, H, K are subgroups of G such that K ≤ Ji ≤ H ≤ NG(K) and Y = Uti=1 Yi a complete set of right coset representatives of H in G where [G : H] = 4, we determine formulas for the subgroups H* and K* consisting of elements of G permuting and fixing the colors respectively. The techniques developed in this paper provide the direction in determining H* and K* for the cases where the index of H in G is a composite bigger that 4.
Recommended Citation
Felix, Rene P. and De Las Peñas, Ma. Louise Antonette N., (2003). On Non-perfect Colorings Arising from Index 4 Subgroups. Archīum.ATENEO.
https://archium.ateneo.edu/mathematics-faculty-pubs/113