Genus One Almost Simple Groups of Lie Rank Two
Abstract
In this paper, we assume that
is a finite group with socle
and
acts on the projective points of 2-dimensional projective geometry
,
is a prime power. By using a new method, we show that
possesses no genus one group if
. Furthermore, we study the connectedness of the Hurwitz space
for a given group
, genus one and
.
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DOI Code:
10.1285/i15900932v43n2p67
Keywords:
Projective special linear group; Fixed point ratio; Genus one group
Full Text: PDF