Irreducible induction and nilpotent subgroups in finite groups

Zoltán Halasi, Attila Maróti, Gabriel Navarro, Pham Huu 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

Keywords

  • Induction
  • Irreducible character
  • Nilpotent subgroup
  • Simple group

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Irreducible induction and nilpotent subgroups in finite groups. / Halasi, Zoltán; Maróti, Attila; Navarro, Gabriel; Tiep, Pham Huu.

In: Journal of Algebra, 01.01.2019.

Research output: Contribution to journalArticle

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