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math.RT2018
Splendid Morita equivalences for principal blocks with generalised quaternion defect groups
Shigeo Koshitani, Caroline Lassueur
We prove that splendid Morita equivalences between principal blocks of finite groups with dihedral Sylow -subgroups realised by Scott modules can be lifted to splendid Morita eq…
math.RT2018
On theorems of Brauer-Nesbitt and Brandt for characterizations of small block algebras
Shigeo Koshitani, Taro Sakurai
In 1941, Brauer-Nesbitt established a characterization of a block with trivial defect group as a block with where is the number of irreducible ordinary charac…