Singular Manual: productgroup

| #### D.15.25.29 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;

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