For any field F and integer n ≥ 2, the projective special linear group PSLn(F ) is the quotient group of SLn(F ) by its center: PSLn(F ) = SLn(F )/Z(SLn(F )). In 1831, Galois claimed that PSL2(Fp) is a simple group for any prime p > 3, although he didn’t give a proof. He had to exclude p = 2 and p = 3 since PSL2(F2) ∼= S3 and PSL2(F3) ∼= A4, and these… (More)
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