Hello,
I'm having fun with Prof. Joyner Adventures in Group Theory, and I was 
experimenting with the smallest
non-abelian simple group, i.e. PSL(2,5). Actually, it can be applied to the 
projective line P1 over the finite field F5.

The amazing thing to me is this map actually permutes the projective line 
elements, acting as a automorphism group.

I know how to realise PSL(2,5) in SAGE but I was wondering if there's a way 
to define a projective line over F5 and see
its elements permuted by PSL(2,5) action in some way.


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