6533b854fe1ef96bd12ae15c
RESEARCH PRODUCT
Irreducible induction and nilpotent subgroups in finite groups
Pham Huu TiepGabriel NavarroZoltán HalasiZoltán HalasiAttila Marótisubject
Pure mathematicsFinite groupAlgebra and Number Theory010102 general mathematicsMathematics::Rings and Algebras01 natural sciencesFitting subgroupNilpotentMathematics::Group TheoryCharacter (mathematics)Simple group0103 physical sciencesFOS: Mathematics010307 mathematical physics0101 mathematicsRepresentation Theory (math.RT)Mathematics::Representation TheoryMathematics - Representation Theory20C15 20C33 (primary) 20B05 20B33 (secondary)Mathematicsdescription
Suppose that $G$ is a finite group and $H$ is a nilpotent subgroup of $G$. If a character of $H$ induces an irreducible character of $G$, then the generalized Fitting subgroup of $G$ is nilpotent.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-02-25 |