Colored Patterns and the Subgroups of their Symmetries effecting Color Permutations
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 obtain...
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2003
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ph-ateneo-arc.mathematics-faculty-pubs-11112022-03-18T00:22:55Z Colored Patterns and the Subgroups of their Symmetries effecting Color Permutations De Las Peñas, Ma. Louise Antonette N Paras, Agnes T 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. 2003-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/112 https://www.degruyter.com/view/journals/zkri/218/11/article-p720.xml Mathematics Faculty Publications Archīum Ateneo Mathematics |
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Philippines Philippines |
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Mathematics De Las Peñas, Ma. Louise Antonette N Paras, Agnes T Colored Patterns and the Subgroups of their Symmetries effecting Color Permutations |
| description |
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. |
| format |
text |
| author |
De Las Peñas, Ma. Louise Antonette N Paras, Agnes T |
| author_facet |
De Las Peñas, Ma. Louise Antonette N Paras, Agnes T |
| author_sort |
De Las Peñas, Ma. Louise Antonette N |
| title |
Colored Patterns and the Subgroups of their Symmetries effecting Color Permutations |
| title_short |
Colored Patterns and the Subgroups of their Symmetries effecting Color Permutations |
| title_full |
Colored Patterns and the Subgroups of their Symmetries effecting Color Permutations |
| title_fullStr |
Colored Patterns and the Subgroups of their Symmetries effecting Color Permutations |
| title_full_unstemmed |
Colored Patterns and the Subgroups of their Symmetries effecting Color Permutations |
| title_sort |
colored patterns and the subgroups of their symmetries effecting color permutations |
| publisher |
Archīum Ateneo |
| publishDate |
2003 |
| url |
https://archium.ateneo.edu/mathematics-faculty-pubs/112 https://www.degruyter.com/view/journals/zkri/218/11/article-p720.xml |
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1728621298719916032 |