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math.GR2003
Products of characters and finite p-groups
Edith Adan-Bante
Let G be a finite p-group, where p is a prime number, and and be faithful complex irreducible characters of G. We study the relation between the number of distinct…
math.GR2003
Products of characters and derived length
Edith Adan-Bante
Let G be a finite solvable group and $χ\in \Irr(G)$ be a faithful character. We show that the derived length of G is bounded by a linear function of the number of distinct irreduci…
math.GR2003
Products of characters and finite p-groups II
Edith Adan-Bante
Let p be a prime number. Let G be a finite p-group and . Denote by the complex conjugate of . Assume that . We show that the number of…