Prime divisors of character degrees

Alexander Moret, Pham Huu Tiep

Research output: Contribution to journalArticlepeer-review

37 Scopus citations

Abstract

Pálfy proved that given a solvable group G and a set π of prime divisors of character degrees of G of cardinality at least 3, there exist two different primes p, q ∈ π such that pq divides some character degree. The solvability hypothesis cannot be removed from Pálfys theorem, but we show that the same conclusion holds for arbitrary finite groups if |π| ≥ 4.

Original languageEnglish (US)
Pages (from-to)341-356
Number of pages16
JournalJournal of Group Theory
Volume11
Issue number3
DOIs
StatePublished - May 2008
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory

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