kalmar/Groups.jl
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FPGroup type overloads

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kalmar 2017-05-11 18:18:06 +02:00
parent f3c36f132b
commit 31cb855c9c
1 changed files with 19 additions and 1 deletions
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20
src/FPGroups.jl
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@ -32,9 +32,27 @@ FPSymbol(s::String) = FPSymbol(s,1)
FPGroup(a::Vector{String}) = FPGroup([FPSymbol(i) for i in a], FPGroupElem[])
function (G::FPGroup)()
id = FPGroupElem(FPSymbol("", 0))
id.parent = G
return id
end
FPGroup() = FPGroup(Vector{FPSymbol}(), Vector{GWord{FPSymbol}}())
function (G::FPGroup)(w::GWord)
eltype(w.symbols) == FPSymbol || throw("Can not coerce $w to FPGroup $G.")
if length(w) > 0
for s in w.symbols
i = findfirst(g -> g.str == s.str, G.gens)
i == 0 && throw("Symbol $s does not belong to $G.")
s.pow % G.gens[i].pow == 0 || throw("Symbol $s doesn't belong to $G.")
end
end
w.parent = G
return w
end
(G::FPGroup)(s::FPSymbol) = G(FPGroupElem(s))
function show(io::IO, G::FPGroup)
print(io, "Finitely presented group on $(length(G.gens)) gens and $(length(G.rels)) relations:\n")