[GAP Forum] a question to the forum

[Stefan Kohl]

Dear Forum,

Daria Lytkina asked:

> How one can create SL(2,Z/mZ) in GAP as a permutation group? Here
> Z=Integers and m in Z. For example, m=48.

You can obtain a permutation representation of SL(2,Z/mZ) as follows:

gap> G := SL(2,Integers mod 48);
SL(2,Z/48Z)
gap> phi := IsomorphismPermGroup(G);
gap> H := Image(phi); # permutation group isomorphic to G = SL(2,Z/48Z)
<permutation group of size 73728 with 2 generators>

Hope this helps,

    Stefan Kohl