Perhaps unexpectedly, there is a rich and deep connection between field of values of characters, their degrees and the structure of a finite group. Some of the fundamental results on the degrees of characters of finite groups, as the Ito-Michler and Thompson's theorems, admit a version involving only characters with certain fixed field of values ([DNT, NS, NST2, NT1, NT3]).
|Original language||English (US)|
|Number of pages||25|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|State||Published - Jan 1 2011|
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