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A Constructive Proof of Brauer's Theorem on Induced Characters in the Group Ring
Published online by Cambridge University Press: 18 December 2013
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.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 57 , Issue 1 , February 2014 , pp. 31 - 53
- Copyright
- Copyright © Edinburgh Mathematical Society 2014