Abstract
We give simple proofs of Laradji's theorem on blocks with central defect groups, Watanabe's theorem on the Glauberman--Watanabe correspondences of blocks and Robinson's theorem on defect groups of $p$-blocks of $p$-solvable groups attaining Brauer's upper bound for the number of irreducible characters.
Citation
Masafumi Murai. "Simple proofs of some theorems in block theory of finite groups." Osaka J. Math. 49 (4) 869 - 873, December 2012.
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