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add PermAut(omorphisms)
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@ -81,3 +81,26 @@ Base.@propagate_inbounds function evaluate!(v::NTuple{T, N}, t::Transvection, A:
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return v
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end
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struct PermAut <: GSymbol
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perm::Vector{UInt8}
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function PermAut(p::AbstractVector{<:Integer})
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@assert sort(p) == 1:length(p)
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return new(p)
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end
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end
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function Base.show(io::IO, p::PermAut)
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print(io, 'σ')
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join(io, (subscriptify(Int(i)) for i in p.perm))
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end
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Base.inv(p::PermAut) = PermAut(invperm(p.perm))
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Base.:(==)(p::PermAut, q::PermAut) = p.perm == q.perm
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Base.hash(p::PermAut, h::UInt) = hash(p.perm, hash(PermAut, h))
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Base.@propagate_inbounds function evaluate!(v::NTuple{T, N}, p::PermAut, ::Alphabet, tmp=one(first(v))) where {T, N}
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return v[p.perm]
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end
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