Groups where all the irreducible characters are super-monomial

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dc.creatorLewis, Mark L.
dc.date2008-12-11
dc.date.accessioned2026-07-07T12:12:04Z
dc.date.available2026-07-07T12:12:04Z
dc.descriptionIsaacs has defined a character to be super monomial if every primitive character inducing it is linear. Isaacs has conjectured that if $G$ is an $M$-group with odd order, then every irreducible character is super monomial. We prove that the conjecture is true if $G$ is an $M$-group of odd order where every irreducible character is a $\{p \}$-lift for some prime $p$. We say that a group where irreducible character is super monomial is a super $M$-group. We use our results to find an example of a super $M$-group that has a subgroup that is not a super $M$-group.
dc.identifierhttps://arxiv.org/abs/0812.2220
dc.identifierhttp://arxiv.org/abs/0812.2220
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210426
dc.subjectGroup Theory
dc.subject20C15
dc.titleGroups where all the irreducible characters are super-monomial
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