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A Constructive Proof of Brauer's Theorem on Induced Characters in the Group Ring
Fedor Bogomolov, Frederick P. Greenleaf
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 57 / Issue 1 / February 2014

Published online by Cambridge University Press:

18 December 2013, pp. 31-53
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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.