Exceptional Subgroups of Sl(2, F )
نویسنده
چکیده
For A, B ∈ SL(2, C), R. C. Churchill gave simple conditions in terms of tr(A), tr(B), and tr(AB) to determine whether the image of the subgroup 〈A, B〉 in PSL(2, C) is isomorphic to A4, S4, or A5. We prove that the same conditions work for SL(2, F ) for any field F , except when the image is A5 and F has characteristic 3, 11, 19, or 29.
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