Products of Characters and Derived Length. II

Document Type

Article

Publication Date

2005

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Let G be a finite solvable group and chi, psi is an element of Irr(G) be complex characters of G. Let alpha be an irreducible constituent of the product chi psi. We show that the derived length of Ker(alpha)/Ker(chi psi) is bounded by a linear function on the number of distinct irreducible constituents of chi psi.

Publication Title

Journal of Group Theory

Volume

8

Issue

4

First Page

453

Last Page

459

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