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A generalization of Redfield's master theorem

Author: V. Iliev

Generalizations of Redfield's master theorem and the superposition theorem are proved by using decomposition of the tensor product of several induced monomial representations of the symmetric group $S_d$ into transitive constituents. As direct consequences, several corollaries concerning superpositions of graphs are obtained.

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Keywords: monomial representations of the symmetric group, automorphism groups of superpositions of graphs
2000 MSC: 20C30, 05A15, 05C30