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arXiv · 2606.20379

Linking conjugacy classes and minimal invariant characters of normal subgroups

María José Felipe·Iris Gilabert·Lucia Sanus
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Abstract

Let $G$ be a finite group and $N$ a normal subgroup of $G$. We report on recent results concerning minimal $G$-invariant characters of $N$ (which are the sums of the characters on each orbit of the action of $G$ by conjugation on $\text{Irr}(N)$) and their influence on the structure of $N$, as well as their relationship to the $G$-conjugacy classes of $N$.

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María José Felipe, Iris Gilabert, Lucia Sanus. 2026-06-18. Linking conjugacy classes and minimal invariant characters of normal subgroups. https://arxiv.org/abs/2606.20379

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