IDA: Gapplet

Gapplet

Given a sequence g₁, ..., g_t of permutations, let G be the group generated by them. Then specify elements generating a subgroup H. The images of g_i in the left multiplication representation L of G on G/H are computed.

Give a sequence of generators g_i for a permutation group, e.g., (1,2,3,4,5,6), (1,2)(3,4)(5,6)
Give a sequence of elements in G as products of the generators, e.g., [1,-2], [2,2], which stands for the elements g₁g₂^-1 and g₂², respectively.




The permutations L_{g_i}