### 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 language | English (US) |
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Pages (from-to) | 31-53 |

Number of pages | 23 |

Journal | Proceedings of the Edinburgh Mathematical Society |

Volume | 57 |

Issue number | 1 |

DOIs | |

State | Published - Feb 2014 |

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Bogomolov, F., & Greenleaf, F. P. (2014). A constructive proof of Brauer's theorem on induced characters in the group Ring[G].

*Proceedings of the Edinburgh Mathematical Society*,*57*(1), 31-53. https://doi.org/10.1017/S0013091513000904