Substitution symmetry |
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Authors: | Werner Hässelbarth |
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Affiliation: | (1) Institut für Quantenchemie, Freie Universität Berlin, Holbeinstrasse 4g, D-1000 Berlin 45 |
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Abstract: | Pólya's enumeration theory and its generalizations are refined to count derivatives of symmetrical parent compounds with any specified subsymmetry. Equivalently, enumeration of orbits of mappings, upon which a group acts by acting on their domain and their range, is refined to count orbits with stabilizers in any specified conjugacy class of subgroups. |
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Keywords: | Enumeration under group action symmetry of derivatives automorphism group of patterns table of marks |
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