A Note on Beauville p-Groups

Details A Note on Beauville p-Groups A Note on Beauville p-Groups

2011-11-15

arxiv.org/abs/1111.3522v1

Mathematics

Group Theory

Scientific paper

We examine which $p$-groups of order $\le p^6$ are Beauville. We completely
classify them for groups of order $\le p^4$. We also show that the proportion
of 2-generated groups of order $p^5$ which are Beauville tends to 1 as $p$
tends to infinity; this is not true, however, for groups of order $p^6$. For
each prime $p$ we determine the smallest non-abelian Beauville $p$-group.

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