Colored Patterns and the Subgroups of their Symmetries effecting Color Permutations

Document Type

Article

Publication Date

2003

Abstract

In this paper, we study colorings corresponding to the partition of the form of the symmetry group G of an uncolored pattern where Ji, H, K are subgroups of G such that K ≤ Ji≤ H ≤ NG(K) and is a complete set of right coset representatives of H in G. In particular, we consider those colorings obtained when Y is partitioned into one set, two sets or singletons and determines the subgroup H* consisting of elements of G effecting color permutations.

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