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RESEARCH PRODUCT

Quadratic characters in groups of odd order

Gabriel Navarro

subject

Finite groupAlgebra and Number TheoryQuadratic functionFinite groupsGalois actionCombinatoricsConjugacy classesQuadratic fieldsMathematics::Group TheoryConjugacy classQuadratic equationCharacter tableOrder (group theory)Binary quadratic formQuadratic fieldCharactersMathematics

description

Abstract We prove that in a finite group of odd order, the number of irreducible quadratic characters is the number of quadratic conjugacy classes.

10.1016/j.jalgebra.2009.03.030http://dx.doi.org/10.1016/j.jalgebra.2009.03.030