character of a finite group


Let G be a finite groupMathworldPlanetmath, and let K be a field. A characterPlanetmathPlanetmath from G to K is a group homomorphismMathworldPlanetmath χ:GK×, where K× is the multiplicative groupMathworldPlanetmath K{0K}.

Example: The Dirichlet charactersMathworldPlanetmath are characters from /m to .

Title character of a finite group
Canonical name CharacterOfAFiniteGroup
Date of creation 2013-03-22 14:10:27
Last modified on 2013-03-22 14:10:27
Owner alozano (2414)
Last modified by alozano (2414)
Numerical id 6
Author alozano (2414)
Entry type Definition
Classification msc 11A25
Synonym character
Related topic DirichletCharacter