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FIX: wrong Gens of MatWreathProduct with Intransitive Top Group.
It was implicitely assumed that the top group is transitive, resulting in insufficient generators for the base group of the matrix wreath product if the top group was given intransitive. Add test to `testbugfix`.
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# Generators of Matrix Wreath Product with Intransitive Top Group # 4664 | ||
gap> K := GL(3,2);; | ||
gap> H := Group((1,2,3)(4,5));; | ||
gap> G := WreathProduct(K, H);; | ||
gap> Size(Group(GeneratorsOfGroup(G))) = 802966929408; | ||
true |