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arXiv · 1610.00066

Examples of non-FSZ p-groups for primes greater than three

Marc Keilberg
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Abstract

For any prime $p>3$ and $j\in\mathbb{N}$ we construct examples of non-$FSZ_{p^j}$ groups of order $p^{p^j+2j-1}$. In the special case of $j=1$ this yields groups of order $p^{p+1}$, which is the minimum possible order for a non-$FSZ$ $p$-group.

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Marc Keilberg. 2016-10-01. Examples of non-FSZ p-groups for primes greater than three. https://arxiv.org/abs/1610.00066

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