Article

Finite 2-groups in which distinct nonlinear irreducible characters have distinct kernels

Published in: Quaestiones Mathematicae
Volume 39 , issue 4 , 2016 , pages: 523–530

DOI: 10.2989/16073606.2015.1096858

Author(s): Amin Saeidi School of Mathematical Sciences, North-West University (Mafikeng), South Africa

Keywords: Primary 20C15 , 20D15 , Primary 20C15 , 20D15

Abstract

In this paper, we study finite 2-groups in which distinct nonlinear irreducible characters have distinct kernels. We prove several results concerning these groups and completely classify 2-groups with at most five nonlinear irreducible characters satisfying this property.

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