English

Generalised Beauville Groups

Group Theory 2019-09-10 v1 Algebraic Geometry

Abstract

A Beauville group acts freely on the product of two compact Riemann surfaces and faithfully on each one of them. In this paper, we consider higher products and present {\it{generalised Beauville groups}}: for d2d \geq 2, dd is the minimal value for which the same action can be defined on the product of dd compact Riemann surfaces.

Keywords

Cite

@article{arxiv.1909.03899,
  title  = {Generalised Beauville Groups},
  author = {Ludo Carta and Ben Fairbairn},
  journal= {arXiv preprint arXiv:1909.03899},
  year   = {2019}
}

Comments

15 pages, 6 tables, all comments welcome

R2 v1 2026-06-23T11:09:49.498Z