A generalization of Taketa’s theorem on M-groups

Research Article

A generalization of Taketa’s theorem on M-groups

Published in: Quaestiones Mathematicae
Volume 46 , issue 8 , 2023 , pages: 1497–1502
DOI: 10.2989/16073606.2022.2081632
Author(s): Zeinab Akhlaghi Amirkabir University of Technology (Tehran Polytechnic), Iran
Keywords: Primary: 20C15 , Secondary: 20D15 , Monomial character , primitive character , Taketa's theorem , average degree
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Abstract

Let G be a finite group. We prove the solvability of G, by assuming that the average degree of non-monomial irreducible characters in Irr(G) is less than 5/2. The bound is sharp.
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