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@testset "FPGroups definitions" begin
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F = FreeGroup(["a", "b", "c"])
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a,b,c = gens(F)
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R = [a^2, a*b*a, c*b*a]
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@test F/R isa FPGroup
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@test F isa FreeGroup
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G = F/R
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A,B,C = gens(G)
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@test A^2 == one(G)
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@test A*B*A*A == A
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@test A*A*B*A == B*A
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@test G/[B^2, C*B*C] isa FPGroup
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end
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