Character correspondences in finite groups Ladisch, Frieder , 1977- Text theses Text Hochschulschrift 2009 2009 eng electronic resourceremoteComputermedienOnline-Ressourcetext/htmlapplication/pdfOnline-Ressource (129 S., 1,09 MB) 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. vorgelegt von Frieder Ladisch Rostock, Univ., Mathematisch-Naturwiss. Fak., Diss., 2009 510 17,1 31.21 http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2009-0106-4 http://rosdok.uni-rostock.de/resolve?urn=urn:nbn:de:gbv:28-diss2009-0106-4&pdf http://nbn-resolving.de/urn:nbn:de:gbv:28-diss2009-0106-4 Character correspondences in finite groups--(DE-627)605999236 urn:nbn:de:gbv:28-diss2009-0106-4 oclc: 455634592 ppn: (DE-627)60769789X