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

Fedor Bogomolov; Frederick P. Greenleaf

doi:10.1017/S0013091513000904

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

Fedor Bogomolov, Frederick P. Greenleaf

Mathematics

Research output: Contribution to journal › Article › peer-review

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)
Pages (from-to)	31-53
Number of pages	23
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	57
Issue number	1
DOIs	https://doi.org/10.1017/S0013091513000904
State	Published - Feb 2014

Keywords

Brauer theorem
Young diagrams
induced characters
long cycles
symmetric groups

ASJC Scopus subject areas

General Mathematics

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10.1017/S0013091513000904

Cite this

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

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.",

keywords = "Brauer theorem, Young diagrams, induced characters, long cycles, symmetric groups",

author = "Fedor Bogomolov and Greenleaf, {Frederick P.}",

year = "2014",

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KW - Young diagrams

KW - induced characters

KW - long cycles

KW - symmetric groups

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

Abstract

Keywords

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