Irreducible induction and nilpotent subgroups in finite groups

Zoltán Halasi, Attila Maróti, Gabriel Navarro, Pham Tiep

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
JournalJournal of Algebra
DOIs
StatePublished - Jan 1 2019
Externally publishedYes

Fingerprint

Proof by induction
Finite Group
Generalized Fitting Subgroup
Subgroup
Irreducible Character
Character

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Induction
  • Irreducible character
  • Nilpotent subgroup
  • Simple group

Cite this

Halasi, Zoltán ; Maróti, Attila ; Navarro, Gabriel ; Tiep, Pham. / Irreducible induction and nilpotent subgroups in finite groups. In: Journal of Algebra. 2019.
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Irreducible induction and nilpotent subgroups in finite groups. / Halasi, Zoltán; Maróti, Attila; Navarro, Gabriel; Tiep, Pham.

In: Journal of Algebra, 01.01.2019.

Research output: Contribution to journalArticle

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AU - Halasi, Zoltán

AU - Maróti, Attila

AU - Navarro, Gabriel

AU - Tiep, Pham

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KW - Induction

KW - Irreducible character

KW - Nilpotent subgroup

KW - Simple group

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