Character degrees in π-separable groups

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Abstract

If a group G is π-separable, where π is a set of primes, the set of irreducible characters Bπ(G) ∪ Bπ′(G) can be defined. In this paper, we prove variants of some classical theorems in character theory, namely the theorem of Ito-Michler and Thompson's theorem on character degrees, involving irreducible characters in the set Bπ(G) ∪ Bπ′(G).
Original languageEnglish
Pages (from-to)1069-1080
Number of pages12
JournalJournal of Group Theory
Volume23
DOIs
Publication statusPublished - 2020

Keywords

  • character degrees
  • normal subgroups
  • prime divisors

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