On p-blocks with Abelian defect groups and inertial index 2 or 3. II
Let G be a finite group and p a fixed prime number. Let B be a p-block of G with a defect group D. Let l(B) be the number of irreducible Brauer characters in B and k(B) the number of irreducible ordinary characters in B. In case D is abelian with inertial index \(e=2\) or 3 and \(p\neq 2\), we determined l(B) \((=e)\) and k(B) in Part I [ibid. 119, No.1, 123-146 (1988; Zbl 0659.20008)]. In this paper combining the results in [loc. cit.] with a property of a p-rational irreducible character, we determine some generalized decomposition numbers of B in that case. We use the same notations as those in [loc. cit.].
number of irreducible ordinary characters
scientific article; zbMATH DE number 4105198
scientific article