# Todo list¶

Note

There are also many #TODO comments scattered throughout the python files.

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Todo

Make this available under an open-source license.

(The original entry is located in /home/docs/checkouts/readthedocs.org/user_builds/thompsons-v/checkouts/master/docs/index.rst, line 38.)

Todo

This could be made more efficient for large values of power by using knowledge of the component containing key.

(The original entry is located in /home/docs/checkouts/readthedocs.org/user_builds/thompsons-v/checkouts/master/thompson/automorphism.py:docstring of thompson.automorphism.Automorphism.repeated_image, line 18.)

Todo

This should be renamed to component_type.

(The original entry is located in /home/docs/checkouts/readthedocs.org/user_builds/thompsons-v/checkouts/master/thompson/automorphism.py:docstring of thompson.automorphism.Automorphism.orbit_type, line 91.)

Todo

This method is badly named; something like test_revealed_by(basis) would be better.

(The original entry is located in /home/docs/checkouts/readthedocs.org/user_builds/thompsons-v/checkouts/master/thompson/automorphism.py:docstring of thompson.automorphism.Automorphism.test_revealing, line 21.)

Todo

This method is badly named; something like is_revealed_by(basis) would be better.

(The original entry is located in /home/docs/checkouts/readthedocs.org/user_builds/thompsons-v/checkouts/master/thompson/automorphism.py:docstring of thompson.automorphism.Automorphism.is_revealing, line 21.)

Todo

doctests

(The original entry is located in /home/docs/checkouts/readthedocs.org/user_builds/thompsons-v/checkouts/master/thompson/automorphism.py:docstring of thompson.automorphism.Automorphism.centralise_period, line 5.)

Todo

use a Python binding to ImageMagick rather than just shelling out?

(The original entry is located in /home/docs/checkouts/readthedocs.org/user_builds/thompsons-v/checkouts/master/thompson/drawing/__init__.py:docstring of thompson.drawing.display_file, line 14.)

Todo

Add the named generators A, B, C of Thompson’s T and V. Analogues for general G_n,r?

(The original entry is located in /home/docs/checkouts/readthedocs.org/user_builds/thompsons-v/checkouts/master/docs/thompson.examples.rst, line 19.)

Todo

The implementation is inefficient: just make auts at random until you find an infinite one. Fix this!

(The original entry is located in /home/docs/checkouts/readthedocs.org/user_builds/thompsons-v/checkouts/master/thompson/examples/random.py:docstring of thompson.examples.random_infinite_automorphism, line 3.)

Todo

Maybe this should be 0 to order if the identity is permitted and 1 to order otherwise?

(The original entry is located in /home/docs/checkouts/readthedocs.org/user_builds/thompsons-v/checkouts/master/thompson/periodic.py:docstring of thompson.periodic.PeriodicAut.power_conjugacy_bounds, line 5.)

Todo

Should use a different attribute (.comment?) rather than __doc__.

(The original entry is located in /home/docs/checkouts/readthedocs.org/user_builds/thompsons-v/checkouts/master/thompson/homomorphism.py:docstring of thompson.homomorphism.Homomorphism.from_file, line 20.)

Todo

More convenient ways of inputting words, e.g. x a1^3 instead of x a1 a1 a1. Use of unicode characters α and λ?

(The original entry is located in /home/docs/checkouts/readthedocs.org/user_builds/thompsons-v/checkouts/master/thompson/word.py:docstring of thompson.word.from_string, line 36.)

Todo

I think this is a total order—try to prove this. I based the idea on [Zaks] (section 2, definition 1) which describes a total order on k-ary trees. On another note, isn’t this similar to shortlex order?

(The original entry is located in /home/docs/checkouts/readthedocs.org/user_builds/thompsons-v/checkouts/master/thompson/word.py:docstring of thompson.word.Word.__lt__, line 53.)