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Induction Of Characters And Finite P-Groups, Edith Adan-Bante
Induction Of Characters And Finite P-Groups, Edith Adan-Bante
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Let G be a finite p-group, where p is an odd prime number, H be a subgroup of G and θ ∈ Irr(H) be an irreducible character of H. Assume also that | G : H | = p2. Then the character θG of G induce by θ is either a multiple of an irreducible character of G, or has at least p+1/2 distinct irreducible constituents.