Search results for "Fixed field"

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Real class sizes and real character degrees

2010

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]).

Fixed fieldPure mathematicsFinite groupClass (set theory)Character (mathematics)General MathematicsStructure (category theory)Field (mathematics)AlgorithmMathematicsConnection (mathematics)Mathematical Proceedings of the Cambridge Philosophical Society
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