Abstract
It is known that the symmetric group S n , for n ≥ 5, and the alternating group A n , for large n, admit a Beauville structure. In this paper we prove that A n admits a Beauville (resp. strongly real Beauville) structure if and only if n ≥ 6 (resp n ≥ 7). We also show that S n admits a strongly real Beauville structure for n ≥ 5.
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Yolanda Fuertes is partially supported by Grants MTM2006-01859 and MTM2006-14688.
Gabino González-Diez is partially supported by Grant MTM2006-01859.
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Fuertes, Y., González-Diez, G. On Beauville structures on the groups S n and A n . Math. Z. 264, 959–968 (2010). https://doi.org/10.1007/s00209-009-0505-z
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DOI: https://doi.org/10.1007/s00209-009-0505-z