Kernels of $$p'$$-Degree Irreducible Characters

نویسندگان

چکیده

Let G be a finite group and let p prime number. We prove that if $$\chi \in {{{\text {Irr}}}}_{p'}(G)$$ $${\text {Ker}}\chi $$ does not have solvable normal p-complement then there exists $$\psi such (1)>\chi (1)$$ {Ker}}\psi <{\text . This is $$p'$$ -version of classical theorem Broline Garrison. As consequence, we obtain results on p-parts character codegrees.

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ژورنال

عنوان ژورنال: Mediterranean Journal of Mathematics

سال: 2022

ISSN: ['1660-5454', '1660-5446']

DOI: https://doi.org/10.1007/s00009-022-02057-8