I wanted to work in the group PGL(2,q), and got off to a good start:

sage: G = PGL(2,13)
sage: G.order().factor()
2^3 * 3 * 7 * 13
sage: G.order() == 13*(13^2-1)
True

but I could not create elements of G, which seemed to think they were
permutations!

sage: G.identity()
()
sage: G.an_element()
(3,14,13,12,11,10,9,8,7,6,5,4)
sage: type(G.an_element())
<type 'sage.groups.perm_gps.permgroup_element.PermutationGroupElement'>

Now I am not a group theorist, but this just seems bizarre!  I am in
fact quite interested in the action of this G on P^1(GF(13)),  but
also expected to be able to work with its elements as matrices (mod
scalars).

Am I doing something wrong?

John

[Sage 4.7 on ubuntu, built from source]

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