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arXiv · 2404.05550

Quasirandom and quasisimple groups

Marco Barbieri·Luca Sabatini
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Abstract

Fix $\varepsilon > 0$. We say that a finite group $G$ is $\varepsilon$-quasirandom if every nontrivial irreducible complex representation of $G$ has degree at least $|G|^\varepsilon$. In this paper, we give a structure theorem for large $\varepsilon$-quasirandom groups, and we completely classify the $\frac{1}{5}$-quasirandom groups.

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Marco Barbieri, Luca Sabatini. 2024-04-08. Quasirandom and quasisimple groups. https://doi.org/10.19086/da.144893

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