The thompson package
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Getting started
Number Theory
Words and standard forms
Generating sets and bases
Homomorphisms
Automorphism
Orbits
MixedAuts
Free factors
Examples
Drawing automorphisms
References
Todo list
Experimental: Cantor subsets
The thompson package
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Index
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Index
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A
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C
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D
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E
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F
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G
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H
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I
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L
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M
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N
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O
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P
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R
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S
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T
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V
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W
_
__and__() (thompson.cantorsubset.CantorSubset method)
(thompson.orbits.SolutionSet method)
__call__() (thompson.homomorphism.Homomorphism method)
__contains__() (thompson.orbits.SolutionSet method)
(thompson.word.Signature method)
__eq__() (thompson.generators.Generators method)
(thompson.homomorphism.Homomorphism method)
__getnewargs__() (thompson.orbits.Characteristic method)
__init__() (thompson.automorphism.Automorphism method)
(thompson.generators.Generators method)
(thompson.homomorphism.Homomorphism method)
__invert__() (thompson.automorphism.Automorphism method)
(thompson.cantorsubset.CantorSubset method)
__lt__() (thompson.word.Word method)
__mul__() (thompson.homomorphism.Homomorphism method)
__new__() (thompson.orbits.Characteristic static method)
(thompson.word.Signature static method)
(thompson.word.Word static method)
__pow__() (thompson.automorphism.Automorphism method)
__repr__() (thompson.homomorphism.Homomorphism method)
(thompson.orbits.Characteristic method)
__str__() (thompson.cantorsubset.CantorSubset method)
(thompson.homomorphism.Homomorphism method)
__xor__() (thompson.automorphism.Automorphism method)
A
add_relabellers() (thompson.homomorphism.Homomorphism method)
address() (thompson.word.Word method)
alpha() (thompson.word.Word method)
append() (thompson.generators.Generators method)
are_contractible() (in module thompson.word)
area_to_identity() (thompson.automorphism.Automorphism method)
as_interval() (thompson.word.Word method)
Automorphism (class in thompson.automorphism)
available_examples() (in module thompson.examples)
C
CantorSubset (class in thompson.cantorsubset)
centralise_period() (thompson.automorphism.Automorphism method)
Characteristic (class in thompson.orbits)
commutes() (thompson.automorphism.Automorphism method)
complete_infinite() (thompson.orbits.ComponentType class method)
ComponentType (class in thompson.orbits)
compute_bounds() (thompson.infinite.InfiniteAut static method)
compute_quasinormal_basis() (thompson.automorphism.Automorphism method)
contract() (thompson.cantorsubset.CantorSubset method)
copy() (thompson.generators.Generators method)
cycled() (thompson.generators.Generators method)
cycles_order() (thompson.automorphism.Automorphism method)
D
descendants_above() (thompson.generators.Generators method)
detailed_comparison() (in module thompson.cantorsubset)
display_file() (in module thompson.drawing)
divisors() (in module thompson.number_theory)
dump_periodic() (thompson.automorphism.Automorphism method)
dump_QNB() (thompson.automorphism.Automorphism method)
E
embed_in() (thompson.generators.Generators method)
equivalence_data() (thompson.infinite.InfiniteAut method)
expand() (thompson.generators.Generators method)
(thompson.word.Word method)
expand_away_lambdas() (thompson.generators.Generators method)
expand_to_size() (thompson.generators.Generators method)
extend() (thompson.generators.Generators method)
(thompson.word.Word method)
extended_gcd() (in module thompson.number_theory)
F
filter() (thompson.generators.Generators method)
find_power_conjugators() (thompson.infinite.InfiniteAut method)
(thompson.mixed.MixedAut method)
(thompson.periodic.PeriodicAut method)
fixed_point_boundary() (thompson.automorphism.Automorphism method)
fixed_points() (thompson.automorphism.Automorphism method)
flow() (in module thompson.drawing)
forest() (in module thompson.drawing)
forest_code() (in module thompson.drawing)
format() (in module thompson.word)
format_cantor() (in module thompson.word)
format_pl_segments() (thompson.homomorphism.Homomorphism method)
format_pl_segments_directly() (thompson.homomorphism.Homomorphism class method)
free_factor() (thompson.mixed.MixedAut method)
free_factors() (thompson.mixed.MixedAut method)
free_monoid_on_alphas() (in module thompson.word)
from_dfs() (thompson.automorphism.Automorphism class method)
(thompson.generators.Generators class method)
from_file() (thompson.homomorphism.Homomorphism class method)
from_string() (in module thompson.word)
(thompson.homomorphism.Homomorphism class method)
G
gcd() (in module thompson.number_theory)
generates_algebra() (thompson.generators.Generators method)
Generators (class in thompson.generators)
gradient() (thompson.homomorphism.Homomorphism static method)
gradient_at() (thompson.homomorphism.Homomorphism method)
gradients() (thompson.homomorphism.Homomorphism method)
gradients_around() (thompson.automorphism.Automorphism method)
H
Homomorphism (class in thompson.homomorphism)
I
identity() (thompson.homomorphism.Homomorphism class method)
image() (thompson.automorphism.Automorphism method)
(thompson.homomorphism.Homomorphism method)
image_of_point() (thompson.homomorphism.Homomorphism method)
image_of_set() (thompson.automorphism.Automorphism method)
(thompson.homomorphism.Homomorphism method)
incomplete() (thompson.orbits.ComponentType class method)
InfiniteAut (class in thompson.infinite)
is_above() (thompson.generators.Generators method)
(thompson.word.Word method)
is_above_set() (thompson.word.Word method)
is_basis() (thompson.generators.Generators method)
is_conjugate_to() (thompson.automorphism.Automorphism method)
is_empty() (thompson.cantorsubset.CantorSubset method)
(thompson.orbits.SolutionSet method)
is_entire_Cantor_set() (thompson.cantorsubset.CantorSubset method)
is_free() (thompson.generators.Generators method)
is_identity() (thompson.homomorphism.Homomorphism method)
is_incomplete() (thompson.orbits.ComponentType method)
is_isomorphic_to() (thompson.word.Signature method)
is_revealing() (thompson.automorphism.Automorphism method)
is_semi_infinite() (thompson.orbits.ComponentType method)
is_sequence() (thompson.orbits.SolutionSet method)
is_simple() (thompson.word.Word method)
is_singleton() (thompson.orbits.SolutionSet method)
is_the_integers() (thompson.orbits.SolutionSet method)
is_type_A() (thompson.orbits.ComponentType method)
is_type_B() (thompson.orbits.ComponentType method)
is_type_C() (thompson.orbits.ComponentType method)
L
lambda_arguments() (in module thompson.word)
lcm() (in module thompson.number_theory)
load_all_examples() (in module thompson.examples)
load_example() (in module thompson.examples)
load_example_pair() (in module thompson.examples)
M
max_depth_to() (thompson.word.Word method)
minimal_expansion_for() (thompson.generators.Generators method)
minimal_partition() (thompson.infinite.InfiniteAut method)
MixedAut (class in thompson.mixed)
multiplier (thompson.orbits.Characteristic attribute)
N
next_non_comment_line() (thompson.homomorphism.Homomorphism static method)
O
orbit_type() (thompson.automorphism.Automorphism method)
P
periodic() (thompson.orbits.ComponentType class method)
periodic_points() (thompson.automorphism.Automorphism method)
PeriodicAut (class in thompson.periodic)
pl_segment() (thompson.homomorphism.Homomorphism class method)
pl_segments() (thompson.homomorphism.Homomorphism method)
plot() (in module thompson.drawing)
potential_image_endpoints() (thompson.infinite.InfiniteAut method)
power (thompson.orbits.Characteristic attribute)
power_conjugacy_bounds() (thompson.infinite.InfiniteAut method)
(thompson.periodic.PeriodicAut method)
preorder_traversal() (thompson.generators.Generators method)
preserves_order() (thompson.automorphism.Automorphism method)
print_characteristics() (thompson.automorphism.Automorphism method)
print_component_types() (in module thompson.orbits)
prod() (in module thompson.number_theory)
R
random_automorphism() (in module thompson.examples)
random_basis() (in module thompson.examples)
random_conjugate_infinite_pair() (in module thompson.examples)
random_conjugate_pair() (in module thompson.examples)
random_conjugate_periodic_pair() (in module thompson.examples)
random_infinite_automorphism() (in module thompson.examples)
random_periodic_automorphism() (in module thompson.examples)
random_power_conjugate_pair() (in module thompson.examples)
random_signature() (in module thompson.examples)
random_simple_word() (in module thompson.examples)
ray_as_rational() (thompson.word.Word static method)
relabel() (thompson.homomorphism.Homomorphism method)
repeated_image() (thompson.automorphism.Automorphism method)
rewrite_set() (in module thompson.generators)
rewrite_word() (in module thompson.generators)
root() (in module thompson.word)
rotation() (thompson.automorphism.Automorphism class method)
rotation_number() (thompson.automorphism.Automorphism method)
rsplit() (thompson.word.Word method)
S
save_to_file() (thompson.homomorphism.Homomorphism method)
semi_infinite() (thompson.orbits.ComponentType class method)
semi_infinite_end_points() (thompson.automorphism.Automorphism method)
seminormal_form_start_point() (thompson.automorphism.Automorphism method)
share_orbit() (thompson.automorphism.Automorphism method)
shift() (thompson.word.Word method)
Signature (class in thompson.word)
simple_words_above() (thompson.generators.Generators method)
simplify() (thompson.cantorsubset.CantorSubset method)
SolutionSet (class in thompson.orbits)
solve_linear_congruence() (in module thompson.number_theory)
solve_linear_diophantine() (in module thompson.number_theory)
sort_mapping_pair() (thompson.generators.Generators class method)
split() (thompson.word.Word method)
standard_basis() (thompson.generators.Generators class method)
standard_generator() (in module thompson.examples)
standardise() (in module thompson.word)
status() (thompson.cantorsubset.CantorSubset method)
subwords() (thompson.word.Word method)
T
test_above() (thompson.generators.Generators method)
(thompson.word.Word method)
test_conjugate_to() (thompson.infinite.InfiniteAut method)
(thompson.mixed.MixedAut method)
(thompson.periodic.PeriodicAut method)
test_free() (thompson.generators.Generators method)
test_generates_algebra() (thompson.generators.Generators method)
test_power_conjugate_to() (thompson.infinite.InfiniteAut method)
(thompson.mixed.MixedAut method)
(thompson.periodic.PeriodicAut method)
test_revealing() (thompson.automorphism.Automorphism method)
test_semi_infinite() (thompson.automorphism.Automorphism method)
thompson.automorphism (module)
thompson.cantorsubset (module)
thompson.drawing (module)
thompson.examples (module)
thompson.generators (module)
thompson.homomorphism (module)
thompson.infinite (module)
thompson.membership (module)
thompson.mixed (module)
thompson.number_theory (module)
thompson.orbits (module)
thompson.periodic (module)
thompson.word (module)
tikz_path() (thompson.homomorphism.Homomorphism method)
V
validate() (in module thompson.word)
W
Word (class in thompson.word)
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