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D.15.23.29 productgroup

Procedure from library multigrading.lib (see multigrading_lib).

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

Purpose:
Returns a representation of the group G x H

Returns:
list

Example:
 
LIB "multigrading.lib";
intmat S1[2][2] =
1,0,
0,1;
intmat L1[2][1] =
2,
0;
intmat S2[2][2] =
1,0,
0,2;
intmat L2[2][1] =
0,
3;
list G = createGroup(S1,L1);
list H = createGroup(S2,L2);
list N = productgroup(G,H);
print(N);
==> [1]:
==>    1,0,0,0,
==>    0,1,0,0,
==>    0,0,1,0,
==>    0,0,0,2 
==> [2]:
==>    2,0,
==>    0,0,
==>    0,0,
==>    0,3 
kill G,H,N,S1,L1,S2,L2;