19 lines
461 B
Julia
19 lines
461 B
Julia
@testset "FPGroups definitions" begin
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F = FreeGroup(["a", "b", "c"])
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a,b,c = Groups.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 = Groups.gens(G)
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@test Groups.reduce!(A^2) == one(G)
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@test Groups.reduce!(A*B*A*A) == A
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@test Groups.reduce!(A*A*B*A) == A
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@test Groups.freepreimage(G) == F
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@test Groups.freepreimage(B^2) == b^2
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@test G/[B^2, C*B*C] isa FPGroup
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end
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