mirror of
https://github.com/kalmarek/SmallHyperbolic
synced 2024-07-27 21:10:31 +02:00
60 lines
1.9 KiB
Julia
60 lines
1.9 KiB
Julia
struct TriangleGrp
|
|
generators::Vector{String}
|
|
relations::Vector{String}
|
|
order1::Int
|
|
order2::Int
|
|
order3::Int
|
|
index::Int
|
|
presentation_length::Int
|
|
hyperbolic::Union{Missing,Bool}
|
|
witnesses_non_hyperbolictity::Union{Missing,Vector{String}}
|
|
virtually_torsion_free::Union{Missing,Bool}
|
|
Kazdhdan_property_T::Union{Missing,Bool}
|
|
abelianization_dimension::Int
|
|
L2_quotients::Vector{String}
|
|
quotients::Vector{Pair{String,Int}}
|
|
alternating_quotients::Vector{Int}
|
|
maximal_order_alt_quo::Int
|
|
end
|
|
|
|
_name(G) = "G_$(G.order1)_$(G.order2)_$(G.order3)_$(G.index)"
|
|
name(G::TriangleGrp) = _name(G)
|
|
grp_name(nt::NamedTuple) = _name(nt)
|
|
|
|
latex_name(G::TriangleGrp) ="\$G^{$(G.order1),$(G.order2),$(G.order3)}_$(G.index)"
|
|
|
|
function TriangleGrp(generators, relations, nt::NamedTuple)
|
|
# @assert fieldnames(SmallHyperbolicGrp) == propertynames(nt)
|
|
hyperbolic, witness = if hasproperty(nt, :hyperbolic)
|
|
h = _tf_missing(nt.hyperbolic)
|
|
nh_w = nt.witnesses_for_non_hyperbolicity
|
|
w = isempty(strip(nh_w)) ? missing : parse_vec(String, '[' * nh_w * ']')
|
|
h, w
|
|
elseif 1 // nt.order1 + 1 // nt.order2 + 1 // nt.order3 < 1
|
|
true, missing
|
|
else
|
|
missing, missing
|
|
end
|
|
|
|
TriangleGrp(
|
|
convert(Vector{String}, generators),
|
|
convert(Vector{String}, relations),
|
|
convert(Int, nt.order1),
|
|
convert(Int, nt.order2),
|
|
convert(Int, nt.order3),
|
|
convert(Int, nt.index),
|
|
convert(Int, nt.presentation_length),
|
|
hyperbolic,
|
|
witness,
|
|
_tf_missing(nt.virtually_torsion_free),
|
|
_tf_missing(nt.Kazhdan),
|
|
convert(Int, nt.abelianization_dimension),
|
|
parse_vec(String, nt.L2_quotients),
|
|
[Pair(p...) for p in parse_vec(Tuple{String,Int}, nt.quotients)],
|
|
parse_vec(Int, nt.alternating_quotients),
|
|
convert(Int, nt.maximal_order_for_alternating_quotients),
|
|
)
|
|
end
|
|
|
|
|