caa a22 4500 386385300 CHVBK 20180307112056.0 cr unu---uuuuu 161130e198903 xx s 000 0 eng 10.1017/S0305004100067712 doi S0305004100067712 pii (NATIONALLICENCE)cambridge-10.1017/S0305004100067712 Gow R. Mathematics Department, University College, Belfield, Dublin 4, Ireland Schur indices and irreducible character degrees in finite solvable groups [Elektronische Daten] [R. Gow] Let G be a finite group and let Irr(G) denote the set of complex irreducible characters of G. Various authors have investigated the question of how information about the degrees of the characters in Irr (G) can provide information about the structure of G. Chapter 12 of [2] gives a survey of a number of results arising from such questions. Two well-known examples of theorems that relate character degrees and group structure are those due to Thompson (12·2 in [2]) and Itô (12.34 in [2]), which we recall here. Copyright © Cambridge Philosophical Society 1989 Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/2(1989-03), 237-240 0305-0041 105:2<237 1989 105 PSP https://doi.org/10.1017/S0305004100067712 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0305004100067712 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gow R. Mathematics Department, University College, Belfield, Dublin 4, Ireland NATIONALLICENCE 773 0- Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/2(1989-03), 237-240 0305-0041 105:2<237 1989 105 PSP CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge