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.
منابع مشابه
Finite p-groups with few non-linear irreducible character kernels
Abstract. In this paper, we classify all of the finite p-groups with at most three non linear irreducible character kernels.
متن کاملIrreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3D_4(p^{3m})$
Here we construct and count all ordinary irreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3D_4(p^{3m})$.
متن کاملOn the irreducible characters of Camina triples
The Camina triple condition is a generalization of the Camina condition in the theory of finite groups. The irreducible characters of Camina triples have been verified in the some special cases. In this paper, we consider a Camina triple (G,M,N) and determine the irreducible characters of G in terms of the irreducible characters of M and G/N.
متن کاملfinite p-groups with few non-linear irreducible character kernels
abstract. in this paper, we classify all of the finite p-groups with at most three non linear irreducible character kernels.
متن کاملirreducible characters of sylow $p$-subgroups of the steinberg triality groups ${}^3d_4(p^{3m})$
here we construct and count all ordinary irreducible characters of sylow $p$-subgroups of the steinberg triality groups ${}^3d_4(p^{3m})$.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2022
ISSN: ['1660-5454', '1660-5446']
DOI: https://doi.org/10.1007/s00009-022-02057-8