On weakly quasi-primitive characters of solvable groups

Chang, Huimin; Jin, Ping

doi:10.1007/s00013-018-1212-y

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(Ii) Z(g) Is Cyclic and If2

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2019

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“…If G is π-solvable, then χ is weakly quasi-primitive if there exists a normal series of G Proof. This is Theorem C in [3].…”

Section: (Ii) Z(g) Is Cyclic and Ifmentioning

confidence: 70%

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

Færgeman

2019

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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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“…If G is π-solvable, then χ is weakly quasi-primitive if there exists a normal series of G Proof. This is Theorem C in [3].…”

Section: (Ii) Z(g) Is Cyclic and Ifmentioning

confidence: 70%

“…Recall that an irreducible character is said to be quasi-primitive if its restriction to any normal subgroup is homogeneous. In [3], H. Chang and P. Jin generalize this notion by defining weakly quasi-primitive characters. These turn out to be crucial for our argument given in the proof of Proposition 3.7 below.…”

Section: (Ii) Z(g) Is Cyclic and Ifmentioning

confidence: 99%

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

Færgeman

2019

Preprint

View full text Add to dashboard Cite

show abstract

On weakly quasi-primitive characters of solvable groups

Cited by 1 publication

References 6 publications

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

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

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