´╗┐

Genus One Almost Simple Groups of Lie Rank Two


Abstract


In this paper, we assume that G is a finite group with socle PSL(3,q) and G acts on the projective points of 2-dimensional projective geometry PG(2,q), q is a prime power. By using a new method, we show that G possesses no genus one group if q>13. Furthermore, we study the connectedness of the Hurwitz space \mathcal{H}^{in}_{r}(G) for a given group G, genus one and q\leq 13.

DOI Code: 10.1285/i15900932v43n2p67

Keywords: Projective special linear group; Fixed point ratio; Genus one group

Full Text: PDF


Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.