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add New.FreeGroup(n::Integer) method
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@ -134,6 +134,18 @@ function FreeGroup(A::Alphabet)
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return FreeGroup(KnuthBendix.letters(A), A)
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end
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function FreeGroup(n::Integer)
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symbols = Symbol[]
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inverses = Int[]
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sizehint!(symbols, 2n)
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sizehint!(inverses, 2n)
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for i in 1:n
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push!(symbols, Symbol(:f, i), Symbol(:F, i))
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push!(inverses, 2i, 2i-1)
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end
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return FreeGroup(symbols[1:2:2n], Alphabet(symbols, inverses))
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end
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Base.show(io::IO, F::FreeGroup) = print(io, "free group on $(ngens(F)) generators")
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# mandatory methods:
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