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Substitution symmetry
Authors:Werner Hässelbarth
Institution:(1) Institut für Quantenchemie, Freie Universität Berlin, Holbeinstrasse 4g, D-1000 Berlin 45
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.
Keywords:Enumeration under group action  symmetry of derivatives  automorphism group of patterns  table of marks
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