Abstract

Let p be an odd prime, G be a finite group and b be a p-block of G with non-abelian metacyclic defect group P. Then it is known that a hyperfocal subgroup Q of b is cyclic. In this study motivated by Rouquier's conjecture on blocks with abelian hyperfocal subgroups, we show that b is isotypic to its Brauer correspondents in NG(P) and NG(Q).

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