Finite groups and degrees of irreducible monomial characters II

Pang, Linna; Lu, Jiakuan

doi:10.1142/s0219498817502310

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2019

2023

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Cited by 2 publications

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“…This has been verified for all solvable groups G with |cd(G)| ≤ 5 ([9, Main Theorem]) and for all finite groups of odd order ([1, Theorem 2.4]). However, much less is known about how the set mcd(G) influences G. Linna Pang and Jiakuan Lu recently made progress in this direction (see [11] and [12]), and we shall use their results heavily.…”

Section: Introductionmentioning

confidence: 99%

On super-monomial characters and groups having two irreducible monomial character degrees

Færgeman

2019

Preprint

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A character of a group is said to be super-monomial if every primitive character inducing it is linear. It is conjectured by Isaacs that every irreducible character of an odd M -group is super-monomial. We show that all non linear irreducible characters of lowest degree of an odd M -group is super-monomial and provide cases in which one can guarantee that certain irreducible characters of normal subgroups are super-monomial. Finally, we study groups having two irreducible monomial character degrees.

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Section: Introductionmentioning

confidence: 99%