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Monomial characters over finite groups

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Abstract

Parks cite{Parks} showed that there is an one to onecorrespondence between good pairs of subgroups in G andirreducible monomial characters of G. This provides a usefulcriterion for a group to be monomial. In this paper, we studyrelative monomial groups by defining triples in G, and findrelationships between the triples and irreducible relativemonomial characters.

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