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

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Induction
  • Irreducible character
  • Nilpotent subgroup
  • Simple group

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