Basic Sets for Unipotent Blocks of Finite Reductive Groups in Bad Characteristic
Basic Sets for Unipotent Blocks of Finite Reductive Groups in Bad Characteristic
Abstract We show the existence of a unitriangular basic set for unipotent blocks of simple reductive groups of classical type in bad characteristic with some exceptions. Then, we introduce an algorithm to count unipotent irreducible Brauer characters and we verify that this algorithm is effective for exceptional adjoint groups.