Abstract
Let G be a finite group and B be a p-block of G with an abelian defect group and inertial index e. If e = 2, then the number of irreducible Brauer characters in B is 2. If p ≠ 2 and e = 3, then the number of irreducible Brauer characters in B is 3. The number of irreducible ordinary characters in B is also determined in both cases.
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