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arXiv · 1901.11320

A family of non-FSZ finite symplectic groups

Marc Keilberg
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Abstract

Let $p$ be an odd prime with $p\equiv1\bmod 4$. Then for any odd power $q$ of $p$ and a positive integer $j$ we show that the groups $\text{Sp}_{p^j+1}(q),\text{PSp}_{p^j+1}(q)$, and their Sylow $p$-subgroups are non-$FSZ_{p^j}$.

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Marc Keilberg. 2019-01-31. A family of non-FSZ finite symplectic groups. https://arxiv.org/abs/1901.11320

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