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D.15.25.28 factorgroup

Procedure from library multigrading.lib (see multigrading_lib).

Usage:
factorgroup(G,H); list G, list H

Purpose:
returns a representation of the factor group G mod H using the first isomorphism thm

Returns:
list

Example:
 
LIB "multigrading.lib";
intmat S1[2][2] =
1,0,
0,1;
intmat L1[2][1] =
2,
0;
intmat S2[2][1] =
1,
0;
intmat L2[2][1] =
2,
0;
list G = createGroup(S1,L1);
list H = createGroup(S2,L2);
list N = factorgroup(G,H);
print(N);
==> [1]:
==>    1,0,
==>    0,1 
==> [2]:
==>    2,1,
==>    0,0 
kill G,H,N,S1,L1,S2,L2;