Finite p-Irregular Subgroups of PGL(2,k)

Details Finite p-Irregular Subgroups of PGL(2,k) Finite p-Irregular Subgroups of PGL(2,k)

2011-12-09

arxiv.org/abs/1112.1999v2

Mathematics

Number Theory

29 pages; added reference to Suzuki's book Group Theory I; minor typos fixed

Scientific paper

Following Beauville in the p-regular case, we give a classification of the finite p-irregular subgroups of PGL(2,k), up to conjugation, for an arbitrary field k of positive characteristic p. For algebraically closed fields, the proof follows the strategy of Dickson for classifying subgroups of the projective special linear group over a finite field. The general case follows by Galois descent.

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