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Ma. Louise Antonette de Las Peñas, Agnes T. Paras

Colored patterns and the subgroups of their symmetries effecting color permutations

In this paper, we study colorings correspon ding to the partition of the form G = ∪_{i = 1}^t ∪_{h ∈ H} hJ_iY_i of the symmetry group G of an uncolored pattern where J_i, H, K are subgroups of G such that K &plusm; J_i &plusm; H &plusm; N_G(K) and Y = ∪_{i = 1}^{t •} Y_i 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.

Zeitschrift für Kristallographie, Oldenbourg Wissenschaftsverlag

Print ISSN: 0044-2968
Volume: 218, 11/2003
Pages: 720

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