67.43 ImprimitiveWreathProduct

ImprimitiveWreathProduct( G, perm-group )

G is a matrix group, a G-module, a list of matrices, a permutation group or a list of permutations, and perm-group can be a permutation group or a list of permutations. Let G be the permutation or matrix group specified or generated by the first argument, P the permutation group specified or generated by the second argument. The wreath product of G and P is calculated and returned. This is a matrix group or a permutation group of dimension or degree dt, where d is the dimension or degree of G and t the degree of P. If G is a permutation group, this function has the same effect as WreathProduct(G, P).

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GAP 3.4.4
April 1997