GroupsWithPropertyT/groups/Allgroups.jl

55 lines
1.2 KiB
Julia

module PropertyTGroups
using PropertyT
using AbstractAlgebra
using Nemo
using Groups
export PropertyTGroup, SymmetrizedGroup, GAPGroup,
SpecialLinearGroup,
SpecialAutomorphismGroup,
HigmanGroup,
CapraceGroup,
MappingClassGroup
export PropertyTGroup
abstract type PropertyTGroup end
abstract type SymmetrizedGroup <: PropertyTGroup end
abstract type GAPGroup <: PropertyTGroup end
function PropertyTGroup(args)
if haskey(args, "SL")
G = PropertyTGroups.SpecialLinearGroup(args)
elseif haskey(args, "SAut")
G = PropertyTGroups.SpecialAutomorphismGroup(args)
elseif haskey(args, "MCG")
G = PropertyTGroups.MappingClassGroup(args)
elseif haskey(args, "Higman")
G = PropertyTGroups.HigmanGroup(args)
elseif haskey(args, "Caprace")
G = PropertyTGroups.CapraceGroup(args)
else
throw("You must provide one of --SL, --SAut, --MCG, --Higman, --Caprace")
end
return G
end
include("autfreegroup.jl")
include("speciallinear.jl")
Comm(x,y) = x*y*x^-1*y^-1
function generatingset(G::GAPGroup)
S = gens(group(G))
return unique([S; inv.(S)])
end
include("mappingclassgroup.jl")
include("higman.jl")
include("caprace.jl")
end # of module PropertyTGroups