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Quadratic characters in groups of odd order

2009

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

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