Finite groups | Representation theory

Coherent set of characters

In mathematical representation theory, coherence is a property of sets of characters that allows one to extend an isometry from the degree-zero subspace of a space of characters to the whole space. The general notion of coherence was developed by Feit , as a generalization of the proof by Frobenius of the existence of a Frobenius kernel of a Frobenius group and of the work of Brauer and Suzuki on exceptional characters. , Chapter 3) developed coherence further in the proof of the Feit–Thompson theorem that all groups of odd order are solvable. (Wikipedia).

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Related pages

Feit–Thompson theorem | Character theory | Frobenius group | Dade isometry | Isometry | Exceptional character | Group (mathematics) | Representation theory