TY - BOOK AU - Ladisch, Frieder PY - 2009 DA - 2009// TI - Character correspondences in finite groups AB - 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. UR - http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2009-0106-4 UR - http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2009-0106-4&pdf UR - http://nbn-resolving.de/urn:nbn:de:gbv:28-diss2009-0106-4 LA - English N1 - vorgelegt von Frieder Ladisch ID - 60769789X ER -