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arXiv · 2310.05579

Kernels of minimal characters of solvable groups

Alexander Moretó
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Abstract

Let $G$ be a finite solvable group. We prove that if $\chi\in{\rm Irr}(G)$ has odd degree and $\chi(1)$ is the minimal degree of the non-linear irreducible characters of $G$, then $G/{\rm Ker} \chi$ is nilpotent-by-abelian.

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Alexander Moretó. 2023-10-09. Kernels of minimal characters of solvable groups. https://doi.org/10.1017/s0013091524000427

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