For a field F, define PSLn(F) = SLn(F) Z , where Z is the center of Slin.(You may assume that Z is the intersection of SLn with the group of scalarmatrices.) It is known that PSLn(Fq) is simple for all finite fields and alln > 2, with two exceptions.To what familiar groups are PSL2(F2) and PSL2(1F3) isomorphic?
You may assume that Z is the intersection of SLn with the gr…
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