Induction of Characters and Finite P-Groups
Let G be a finite p-group, where pis an odd prime number, H a subgroup of G and theta is an element of Irr(H) an irreducible character of H. Assume also that vertical bar G : H vertical bar = p(2). Then the character theta(G) of G induced by theta is either a multiple of an irreducible character of G, or has at least p+1/2 distinct irreducible constituents.
Glasgow Mathematical Journal
(2006). Induction of Characters and Finite P-Groups. Glasgow Mathematical Journal, 48, 491-502.
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