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pcgroup.jl
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pcgroup.jl
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@testset "create polycyclic groups from collectors" begin
# finite polycyclic groups
c = collector(2, Int);
set_relative_order!(c, 1, 2)
set_relative_order!(c, 2, 3)
set_power!(c, 1, [2 => 1])
gg = pc_group(c)
@test describe(gg) == "C6"
c = collector(2, Int);
set_relative_orders!(c, [2, 3])
set_conjugate!(c, 2, 1, [2 => 2])
gg = pc_group(c)
@test describe(gg) == "S3"
c = collector(2, Int);
set_relative_orders!(c, [2, 3])
set_commutator!(c, 2, 1, Pair{Int, Int}[])
gg = pc_group(c)
@test describe(gg) == "C6"
c = collector(2, Int);
set_relative_orders!(c, [2, 3])
set_commutator!(c, 2, 1, [2 => 1])
gg = pc_group(c)
@test describe(gg) == "S3"
c = collector(4, Int);
set_relative_orders!(c, [3, 3, 3, 3])
gg = pc_group(c)
@test describe(gg) == "C3 x C3 x C3 x C3"
# infinite polycyclic groups
c = collector(2);
set_relative_orders!(c, ZZRingElem[2, 0])
set_conjugate!(c, 2, 1, [2 => ZZRingElem(-1)])
gg = pc_group(c)
@test describe(gg) == "an infinite group"
# collectors created by hand are independent of collectors stored in groups
x = one(gg).X
cgg = GAP.getbangproperty(x, :collector)
@test GAP.Globals.IsMutable(cgg)
@test ! GAP.Globals.IsIdenticalObj(cgg, c.X)
end