Examples of non-$FSZ$ $p$-groups for primes greater than three
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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.References
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Additional Information
- Received by editor(s): July 2, 2016
- Received by editor(s) in revised form: July 25, 2016, and February 17, 2017
- Published electronically: August 30, 2017
- Communicated by: Pham Huu Tiep
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 85-92
- MSC (2010): Primary 20F99; Secondary 20D15, 16T05, 18D10
- DOI: https://doi.org/10.1090/proc/13823
- MathSciNet review: 3723122