Brauer correspondent of a block
= Brauer correspondent of a block
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= Brauer correspondent
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{synonym}
The Brauer correspondent of a <block of a group algebra> with <defect group of a block> $D$ in $G$ is the corresponding block of $N_G(D)$ furnished by <Brauer first main theorem>. The more general induced block $b^G$ is defined by <block induction> when the subgroup contains the centralizer of a defect group of $b$.