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arXiv · 1909.00851

Purely (non-) strongly real Beauville $p$-groups

Şükran Gül
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Abstract

For every prime $p\geq5$, we give examples of Beauville $p$-groups whose Beauville structures are never strongly real. This shows that there are purely non-strongly real nilpotent Beauville groups. On the other hand, we determine infinitely many Beauville $2$-groups which are purely strongly real. This answers two questions formulated by Fairbairn in [8].

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Şükran Gül. 2019-09-02. Purely (non-) strongly real Beauville $p$-groups. https://arxiv.org/abs/1909.00851

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