A constructive proof of Brauer's theorem on induced characters in the group Ring[G]

Fedor Bogomolov, Frederick P. Greenleaf

Research output: Contribution to journalArticle

Abstract

We provide an alternative constructive proof of the classical Brauer theorem for finite groups based on the well-known description of the complex irreducible representations of the symmetric groups Sn. The theorem is first proved for Sn and then for general G by embedding in Sn and applying the Mackey subgroup theorem.

Original languageEnglish (US)
Pages (from-to)31-53
Number of pages23
JournalProceedings of the Edinburgh Mathematical Society
Volume57
Issue number1
DOIs
StatePublished - 2014

Fingerprint

Group Ring
Theorem
Irreducible Representation
Symmetric group
Finite Group
Subgroup
Alternatives
Character

Keywords

  • Brauer theorem
  • induced characters
  • long cycles
  • symmetric groups
  • Young diagrams

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A constructive proof of Brauer's theorem on induced characters in the group Ring[G]. / Bogomolov, Fedor; Greenleaf, Frederick P.

In: Proceedings of the Edinburgh Mathematical Society, Vol. 57, No. 1, 2014, p. 31-53.

Research output: Contribution to journalArticle

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