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arXiv · 1304.5444

Characteristically simple Beauville groups, I: cartesian powers of alternating groups

Gareth A. Jones
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Abstract

A Beauville surface (of unmixed type) is a complex algebraic surface which is the quotient of the product of two curves of genus at least 2 by a finite group G acting freely on the product, where G preserves the two curves and their quotients by G are isomorphic to the projective line, ramified over three points. Such a group G is called a Beauville group. We show that if a characteristically simple group G is a cartesian power of a finite simple alternating group, then G is a Beauville group if and only if it has two generators and is not isomorphic to A_5.

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Gareth A. Jones. 2013-04-19. Characteristically simple Beauville groups, I: cartesian powers of alternating groups. https://arxiv.org/abs/1304.5444

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