New Beauville surfaces and finite simple groups

作者：Garion Shelly; Penegini Matteo^*

来源：Manuscripta Mathematica, 2013, 142(3-4): 391-408.

DOI：10.1007/s00229-013-0607-0

In this paper we construct new Beauville surfaces with group either PSL(2, p (e) ), or belonging to some other families of finite simple groups of Lie type of low Lie rank, or an alternating group, or a symmetric group, proving a conjecture of Bauer, Catanese and Grunewald. The proofs rely on probabilistic group theoretical results of Liebeck and Shalev, on classical results of Macbeath and on recent results of Marion.

• 出版日期2013-11