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

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Saeidi, Amin

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National Inquiry Services Centre (NISC)

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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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Saeidi, A. 2016. Finite 2-groups in which distinct nonlinear irreducible characters have distinct kernels. Quaestiones Mathematicae, 39(4):523-530. [http://dx.doi.org/10.2989/16073606.2015.1096858]

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