A GENERALIZATION OF REDFIELD’S MASTER THEOREM

TitleA GENERALIZATION OF REDFIELD’S MASTER THEOREM
Publication TypeJournal Article
Year of Publication2003
AuthorsIliev V
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume95
Keywordsautomorphism groups of superpositions of graphs, monomial representations of the symmetric group
Abstract

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.

2000 MSC

20C30, 05A15, 05C30

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