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And function to create generating set and products
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21
SL3Z.jl
21
SL3Z.jl
@ -79,6 +79,27 @@ function inv(M::Array{Mod,2})
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return adjugate(M)
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end
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function SL_generatingset(n::Int, p::Int)
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(p > 1 && n > 1) || throw(ArgumentError("Both n and p should be integers!"))
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isprime(p) || throw(ArgumentError("p should be a prime number!"))
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indexing = [(i,j) for i in 1:n for j in 1:n if i≠j]
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S = [E(i,j, N=n, mod=p) for (i,j) in indexing]
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S = vcat(S, [inv(s) for s in S])
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S = vcat(S, [permutedims(x, [2,1]) for x in S]);
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return unique(S)
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end
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function products{T}(U::AbstractVector{T}, V::AbstractVector{T})
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result = Vector{T}()
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for u in U
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for v in V
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push!(result, u*v)
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end
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end
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return unique(result)
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end
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function ΔandSDPconstraints(identity, S)
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B₁ = vcat([identity], S)
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