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Article

A Constructive Proof of Brauer's Theorem on Induced Characters in the Group Ring

Proceedings of the Edinburgh Mathematical Society. 2014. Vol. 57. No. 1. P. 31-53.
Bogomolov F. A., Greenleaf F. P.

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.