Biset functors and brauer's induction theorem
Öğüt, İsmail Alperen
Barker, Laurence J.
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We introduce two algebras on the endomorphism ring of the direct sum of character rings of groups from some collection. We prove the equality of these algebras to simplify a step in the proof of Brauer’s Induction Theorem. We also show that these algebras are isomorphic to the direct sum of character rings of the direct products of the groups from the collection.