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Finite 2-groups in which distinct nonlinear irreducible characters have distinct kernels
Authors:Amin Saeidi
Institution:School of Mathematical Sciences, North-West University (Mafikeng), Private Bag X2046, Mmabatho 2735, South Africa
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.
Keywords:Primary 20C15  20D15
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