initial adjust of GAPGroups files
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@ -1,20 +1,14 @@
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module CapraceGroup
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struct CapraceGroup <: GAPGroup
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args::Dict{String,Any}
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end
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using AbstractAlgebra
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using Groups
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name(G::CapraceGroup) = "CapraceGroup"
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###############################################################################
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#
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# Generating set
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#
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###############################################################################
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function group(G::CapraceGroup)
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Comm(x,y) = x*y*x^-1*y^-1
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caprace_group = Groups.FPGroup(["x","y","z","t","r"])
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function generatingset()
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CapraceGroup = Groups.FPGroup(["x","y","z","t","r"]);
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x,y,z,t,r = gens(CapraceGroup)
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x,y,z,t,r = gens(caprace_group)
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relations = [
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x^7,
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@ -38,25 +32,6 @@ function generatingset()
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relations = [relations; [inv(rel) for rel in relations]]
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Groups.add_rels!(CapraceGroup, Dict(rel => CapraceGroup() for rel in relations))
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return CapraceGroup, gens(CapraceGroup)
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Groups.add_rels!(caprace_group, Dict(rel => caprace_group() for rel in relations))
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return caprace_group
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end
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function generatingset(parsed_args)
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return generatingset()
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end
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###############################################################################
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#
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# Misc
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#
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###############################################################################
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function groupname(parsed_args)
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return groupname(), 0
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end
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groupname() = "CapraceGroup"
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end # of module CapraceGroup
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@ -1,20 +1,14 @@
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module HigmanGroup
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struct HigmanGroup <: GAPGroup
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args::Dict{String,Any}
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end
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using AbstractAlgebra
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using Groups
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name(G::HigmanGroup) = "HigmanGroup"
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###############################################################################
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#
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# Generating set
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#
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###############################################################################
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function group(G::HigmanGroup)
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Comm(x,y) = x*y*x^-1*y^-1
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higman_group = Groups.FPGroup(["a","b","c","d"]);
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function generatingset()
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HigmanGr = Groups.FPGroup(["a","b","c","d"]);
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a,b,c,d = gens(HigmanGr)
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a,b,c,d = gens(higman_group)
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relations = [
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b^-1*Comm(b,a),
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@ -25,25 +19,6 @@ function generatingset()
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relations = [relations; [inv(rel) for rel in relations]]
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Groups.add_rels!(HigmanGr, Dict(rel => HigmanGr() for rel in relations))
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return HigmanGr, gens(HigmanGr)
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Groups.add_rels!(higman_group, Dict(rel => HigmanGr() for rel in relations))
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return higman_group
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end
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function generatingset(parsed_args)
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return generatingset()
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end
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###############################################################################
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#
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# Misc
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#
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###############################################################################
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function groupname(parsed_args)
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return groupname(), 0
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end
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groupname() = "HigmanGroup"
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end # of module CapraceGroup
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@ -1,17 +1,14 @@
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module MappingClassGroups
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struct MappingClassGroup <: GAPGroup
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args::Dict{String,Any}
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end
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using AbstractAlgebra
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using Groups
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function name(G::MappingClassGroup)
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N = G.args["N"]
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return "MCG($(N))"
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end
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###############################################################################
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#
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# Generating set
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#
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###############################################################################
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Comm(x,y) = x*y*x^-1*y^-1
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function generatingset(N::Int)
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function group(G::MappingClassGroup)
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N = G.args["N"]
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if N < 2
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throw("Genus must be at least 2!")
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elseif N == 2
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@ -33,8 +30,7 @@ function generatingset(N::Int)
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Groups.add_rels!(MCGroup, Dict(rel => MCGroup() for rel in relations))
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return MCGroup
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end
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else
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MCGroup = Groups.FPGroup(["a$i" for i in 0:2N])
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S = gens(MCGroup)
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@ -85,25 +81,6 @@ function generatingset(N::Int)
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relations = [relations; [inv(rel) for rel in relations]]
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Groups.add_rels!(MCGroup, Dict(rel => MCGroup() for rel in relations))
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return MCGroup, gens(MCGroup)
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return MCGroup
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end
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function generatingset(parsed_args)
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N = parsed_args["N"]
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return generatingset(N)
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end
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###############################################################################
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#
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# Misc
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#
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###############################################################################
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function groupname(parsed_args)
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N = parsed_args["N"]
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return groupname(N), N
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end
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groupname(N::Int) = "MCG$(N)"
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end #of module MappingClassGroups
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