Jordan correspondence and block distribution of characters

Abstract We complete the determination of the ‐block distribution of characters for quasi‐simple exceptional groups of Lie type up to some minor ambiguities relating to non‐uniqueness of Jordan decomposition. For this, we first determine the ‐block distribution for finite reductive groups whose ambient algebraic group defined in characteristic different from has connected centre. As a consequence, we derive a compatibility between ‐blocks, ‐Harish‐Chandra series and Jordan decomposition. Further, we apply our results to complete the proof of Robinson's conjecture on defects of characters.