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Add SOut generating set

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This commit is contained in:
kalmar 2017-04-10 20:02:17 +02:00
parent c090f1d3c5
commit b3bc17cba2
1 changed files with 15 additions and 3 deletions
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18
AutFN.jl
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@ -46,6 +46,19 @@ function generating_set_of_OutF(N::Int)
return Vector{AutWord}(unique(S)), one(AutWord) return Vector{AutWord}(unique(S)), one(AutWord)
end end
function generating_set_of_SOutF(N::Int)
indexing = [[i,j] for i in 1:N for j in 1:N if i≠j]
ϱs = [rmul_AutSymbol(i,j) for (i,j) in indexing]
λs = [lmul_AutSymbol(i,j) for (i,j) in indexing]
S = ϱs
push!(S, λs...)
push!(S,[inv(g) for g in S]...)
return Vector{AutWord}(unique(S)), one(AutWord)
end
function generating_set_of_Sym(N::Int) function generating_set_of_Sym(N::Int)
σs = [symmetric_AutSymbol(perm) for perm in SymmetricGroup(N)[2:end]]; σs = [symmetric_AutSymbol(perm) for perm in SymmetricGroup(N)[2:end]];
@ -137,7 +150,6 @@ function ΔandSDPconstraints(identity::AutWord, S::Vector{AutWord})
end end
@show length(B₄_images) @show length(B₄_images)
# @assert length(B₄_images) == 3425657
println("Creating product matrix...") println("Creating product matrix...")
@time pm = create_product_matrix(B₂, B₄_images) @time pm = create_product_matrix(B₂, B₄_images)
@ -217,9 +229,9 @@ function main()
N = parsed_args["N"] N = parsed_args["N"]
upper_bound = parsed_args["upper-bound"] upper_bound = parsed_args["upper-bound"]
name = "OutF$N" name = "SOutF$N"
name = name*"-$(string(upper_bound))" name = name*"-$(string(upper_bound))"
S() = generating_set_of_OutF(N) S() = generating_set_of_SOutF(N)
if parsed_args["cpus"] ≠ nothing if parsed_args["cpus"] ≠ nothing
if parsed_args["cpus"] > cpuinfo_physicalcores() if parsed_args["cpus"] > cpuinfo_physicalcores()