On Beauville Structures for PSL(2,q)

Abstract

We characterize Beauville surfaces of unmixed type with group either PSL(2,p^e) or PGL(2,p^e), thus extending previous results of Bauer, Catanese and Grunewald, Fuertes and Jones, and Penegini and the author.

v3: 28 pages, minor changes (especially in the introduction) v2: 27 pages, the main result was extended, some explanations and many examples were added

References in corpus (2)

• Beauville surfaces and finite simple groups
• Generation of finite simple groups with an application to groups acting on Beauville surfaces

Cited by in corpus (3)

• Beauville surfaces and finite simple groups
• Expansion of conjugacy classes in PSL(2,q)
• Some remarks on cyclic Galois coverings of the projective line over finite fields