10.18453/rosdok_id00000491 Ladisch, Frieder Frieder Ladisch http://d-nb.info/gnd/137490070 Universität Rostock 2009 510 Mathematics 2009 en http://purl.uni-rostock.de/rosdok/id00000491 urn:nbn:de:gbv:28-diss2009-0106-4 We consider character correspondences between the characters of a group lying over a fixed character of a normal subgroup, and a similar defined set of characters of a subgroup. This situation occurs in many applications, for example in the proof of important character correspondences found by Glauberman, Dade and Isaacs. With our methods we can give more transparent proofs of the results of Dade and Isaacs. We also consider rationality questions and generalizations to modular representation theory. We show that the Isaacs part of the Glauberman-Isaacs correspondence preserves Schur indices.