Induced character

In mathematics, an induced character is the character of the representation V of a finite group G induced from a representation W of a subgroup H ≤ G. More generally, there is also a notion of induction

of a class function f on H given by the formula If f is a character of the representation W of H, then this formula for

calculates the character of the induced representation V of G.[1] The basic result on induced characters is Brauer's theorem on induced characters.

It states that every irreducible character on G is a linear combination with integer coefficients of characters induced from elementary subgroups.

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