6533b7ddfe1ef96bd12750f7
RESEARCH PRODUCT
Real class sizes and real character degrees
Pham Huu TiepGabriel NavarroRobert M. Guralnicksubject
Fixed fieldPure mathematicsFinite groupClass (set theory)Character (mathematics)General MathematicsStructure (category theory)Field (mathematics)AlgorithmMathematicsConnection (mathematics)description
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]).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-06-22 | Mathematical Proceedings of the Cambridge Philosophical Society |