Derived length when a product of characters has two nonprincipal irreducible constituents

作者:Hendrixson Lisa Rose*; Lewis Mark L
来源:Journal of Algebra and Its Applications, 2016, 15(6): 1650110.
DOI:10.1142/S0219498816501103

摘要

We study the situation where a solvable group G has a faithful irreducible character. such that chi(chi) over bar has exactly two distinct nonprincipal irreducible constituents. We prove that G has derived length bounded above by 8, and provide an example of such a group having derived length 8. In particular, this improves upon a result of Adan-Bante.

  • 出版日期2016-8

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