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

Keilberg, Marc

doi:10.1090/proc/13823

Examples of non-$FSZ$ $p$-groups for primes greater than three
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Proc. Amer. Math. Soc. 146 (2018), 85-92 Request permission

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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