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Products of characters and derived length. II

  • Edith Adan-Bante
Veröffentlicht/Copyright: 18. November 2005
Journal of Group Theory
Aus der Zeitschrift Band 8 Heft 4

Abstract

Let G be a finite solvable group and χ, ψ ∈ Irr(G) be complex characters of G. Let α  be an irreducible constituent of the product χψ. We show that the derived length of Ker(α ) | Ker( χψ ) is bounded by a linear function on the number of distinct irreducible constituents of χψ.

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Published Online: 2005-11-18
Published in Print: 2005-07-20

Walter de Gruyter GmbH & Co. KG

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