Low Index Subgroups

The low_index project provides a Python module which implements a variant of Charles Sims’ Low Index Subgroups algorithm for enumerating all of the conjugacy classes of subgroups of a finitely presented group with finite index less than a given bound.

The package is available on pypi, so the simplest way to install it for Python versions 3.6 - 3.11 is to use pip:

pip3 install low-index

Here is a sample computation:

>>> from low_index import *
>>>  # Conjugacy classes of subgroups of F_3 with index at most 4:
>>> reps = permutation_reps(rank = 3, short_relators = [], long_relators = [], max_degree = 4)
>>> len(reps)
653
>>> from snappy import *
>>> G = Manifold('K11n34').fundamental_group(); G
Generators:
   a,b,c
Relators:
   aaBcbbcAc
   aacAbCBBaCAAbbcBc
>>> # Degree at most 7 covers of the exterior of the Conway knot:
>>> reps = permutation_reps(G.num_generators(), G.relators()[:1], G.relators()[1:], 7)
>>> len(reps)
52
>>> reps[25]
[[1, 0, 3, 2, 5, 6, 4], [1, 4, 0, 6, 2, 5, 3], [3, 0, 2, 6, 4, 1, 5]]

Credits

Primarily developed by Marc Culler, Nathan Dunfield, and Matthias Goerner

License

Copyright 2022 by Marc Culler, Nathan Dunfield, Matthias Goerner and others.

This code is released under the GNU General Public License, version 2 or (at your option) any later version as published by the Free Software Foundation.

Project links

Key dates

PyPI data
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  • Released:
Latest release

3 maintainers

PyPI data
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Avatar for Marc.Culler from gravatar.com Marc.Culler Avatar for Nathan.Dunfield from gravatar.com Nathan.Dunfield Avatar for unhyperbolic from gravatar.com unhyperbolic

Credits

Author: Marc Culler

License

GNU General Public License v2 or later (GPLv2+)

Requires

Python >=3.8

Classifiers

Report project as malware

Metadata

Project links

Key dates

PyPI data
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  • Released:
Latest release

3 maintainers

PyPI data
Data sourced directly from PyPI's database.
Avatar for Marc.Culler from gravatar.com Marc.Culler Avatar for Nathan.Dunfield from gravatar.com Nathan.Dunfield Avatar for unhyperbolic from gravatar.com unhyperbolic

Credits

Author: Marc Culler

License

GNU General Public License v2 or later (GPLv2+)

Requires

Python >=3.8

Classifiers

Report project as malware

Release files for low-index 1.3

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Source distribution for low-index 1.3
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low_index-1.3-cp314-cp314-win_arm64.whl 200.6 kB CPython 3.14 CPython 3.14 Windows ARM64 Details
low_index-1.3-cp314-cp314-win_amd64.whl 221.4 kB CPython 3.14 CPython 3.14 Windows x86-64 Details
low_index-1.3-cp314-cp314-win32.whl 192.2 kB CPython 3.14 CPython 3.14 Windows x86-32 Details
low_index-1.3-cp314-cp314-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 130.6 kB CPython 3.14 CPython 3.14 Linux glibc 2.28+ x86-64, Linux glibc 2.24+ x86-64 Details
low_index-1.3-cp314-cp314-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 120.8 kB CPython 3.14 CPython 3.14 Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64 Details
low_index-1.3-cp314-cp314-macosx_11_0_arm64.whl 130.3 kB CPython 3.14 CPython 3.14 macOS 11.0+ ARM64 Details
low_index-1.3-cp314-cp314-macosx_10_15_x86_64.whl 131.0 kB CPython 3.14 CPython 3.14 macOS 10.15+ x86-64 Details
low_index-1.3-cp314-cp314-macosx_10_15_universal2.whl 257.2 kB CPython 3.14 CPython 3.14 macOS 10.15+ universal2 (ARM64, x86-64) Details
low_index-1.3-cp313-cp313-win_arm64.whl 194.9 kB CPython 3.13 CPython 3.13 Windows ARM64 Details
low_index-1.3-cp313-cp313-win_amd64.whl 215.2 kB CPython 3.13 CPython 3.13 Windows x86-64 Details
low_index-1.3-cp313-cp313-win32.whl 186.7 kB CPython 3.13 CPython 3.13 Windows x86-32 Details
low_index-1.3-cp313-cp313-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 130.6 kB CPython 3.13 CPython 3.13 Linux glibc 2.24+ x86-64, Linux glibc 2.28+ x86-64 Details
low_index-1.3-cp313-cp313-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 120.5 kB CPython 3.13 CPython 3.13 Linux glibc 2.24+ ARM64, Linux glibc 2.28+ ARM64 Details
low_index-1.3-cp313-cp313-macosx_11_0_arm64.whl 131.3 kB CPython 3.13 CPython 3.13 macOS 11.0+ ARM64 Details
low_index-1.3-cp313-cp313-macosx_10_13_x86_64.whl 131.0 kB CPython 3.13 CPython 3.13 macOS 10.13+ x86-64 Details
low_index-1.3-cp313-cp313-macosx_10_13_universal2.whl 259.1 kB CPython 3.13 CPython 3.13 macOS 10.13+ universal2 (ARM64, x86-64) Details
low_index-1.3-cp312-cp312-win_arm64.whl 194.9 kB CPython 3.12 CPython 3.12 Windows ARM64 Details
low_index-1.3-cp312-cp312-win_amd64.whl 215.3 kB CPython 3.12 CPython 3.12 Windows x86-64 Details
low_index-1.3-cp312-cp312-win32.whl 186.7 kB CPython 3.12 CPython 3.12 Windows x86-32 Details
low_index-1.3-cp312-cp312-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 130.6 kB CPython 3.12 CPython 3.12 Linux glibc 2.28+ x86-64, Linux glibc 2.24+ x86-64 Details
low_index-1.3-cp312-cp312-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 120.5 kB CPython 3.12 CPython 3.12 Linux glibc 2.24+ ARM64, Linux glibc 2.28+ ARM64 Details
low_index-1.3-cp312-cp312-macosx_11_0_arm64.whl 131.2 kB CPython 3.12 CPython 3.12 macOS 11.0+ ARM64 Details
low_index-1.3-cp312-cp312-macosx_10_13_x86_64.whl 131.0 kB CPython 3.12 CPython 3.12 macOS 10.13+ x86-64 Details
low_index-1.3-cp312-cp312-macosx_10_13_universal2.whl 259.0 kB CPython 3.12 CPython 3.12 macOS 10.13+ universal2 (ARM64, x86-64) Details
low_index-1.3-cp311-cp311-win_arm64.whl 194.9 kB CPython 3.11 CPython 3.11 Windows ARM64 Details
low_index-1.3-cp311-cp311-win_amd64.whl 214.4 kB CPython 3.11 CPython 3.11 Windows x86-64 Details
low_index-1.3-cp311-cp311-win32.whl 186.2 kB CPython 3.11 CPython 3.11 Windows x86-32 Details
low_index-1.3-cp311-cp311-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 129.6 kB CPython 3.11 CPython 3.11 Linux glibc 2.28+ x86-64, Linux glibc 2.24+ x86-64 Details
low_index-1.3-cp311-cp311-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 120.0 kB CPython 3.11 CPython 3.11 Linux glibc 2.24+ ARM64, Linux glibc 2.28+ ARM64 Details
low_index-1.3-cp311-cp311-macosx_11_0_arm64.whl 129.7 kB CPython 3.11 CPython 3.11 macOS 11.0+ ARM64 Details
low_index-1.3-cp311-cp311-macosx_10_9_x86_64.whl 130.1 kB CPython 3.11 CPython 3.11 macOS 10.9+ x86-64 Details
low_index-1.3-cp311-cp311-macosx_10_9_universal2.whl 255.5 kB CPython 3.11 CPython 3.11 macOS 10.9+ universal2 (ARM64, x86-64) Details
low_index-1.3-cp310-cp310-win_arm64.whl 194.9 kB CPython 3.10 CPython 3.10 Windows ARM64 Details
low_index-1.3-cp310-cp310-win_amd64.whl 214.3 kB CPython 3.10 CPython 3.10 Windows x86-64 Details
low_index-1.3-cp310-cp310-win32.whl 186.2 kB CPython 3.10 CPython 3.10 Windows x86-32 Details
low_index-1.3-cp310-cp310-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 129.5 kB CPython 3.10 CPython 3.10 Linux glibc 2.28+ x86-64, Linux glibc 2.24+ x86-64 Details
low_index-1.3-cp310-cp310-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 120.0 kB CPython 3.10 CPython 3.10 Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64 Details
low_index-1.3-cp310-cp310-macosx_11_0_arm64.whl 129.7 kB CPython 3.10 CPython 3.10 macOS 11.0+ ARM64 Details
low_index-1.3-cp310-cp310-macosx_10_9_x86_64.whl 130.1 kB CPython 3.10 CPython 3.10 macOS 10.9+ x86-64 Details
low_index-1.3-cp310-cp310-macosx_10_9_universal2.whl 255.5 kB CPython 3.10 CPython 3.10 macOS 10.9+ universal2 (ARM64, x86-64) Details
low_index-1.3-cp39-cp39-win_arm64.whl 192.8 kB CPython 3.9 CPython 3.9 Windows ARM64 Details
low_index-1.3-cp39-cp39-win_amd64.whl 214.6 kB CPython 3.9 CPython 3.9 Windows x86-64 Details
low_index-1.3-cp39-cp39-win32.whl 186.1 kB CPython 3.9 CPython 3.9 Windows x86-32 Details
low_index-1.3-cp39-cp39-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 129.6 kB CPython 3.9 CPython 3.9 Linux glibc 2.24+ x86-64, Linux glibc 2.28+ x86-64 Details
low_index-1.3-cp39-cp39-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 119.9 kB CPython 3.9 CPython 3.9 Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64 Details
low_index-1.3-cp39-cp39-macosx_11_0_arm64.whl 129.8 kB CPython 3.9 CPython 3.9 macOS 11.0+ ARM64 Details
low_index-1.3-cp39-cp39-macosx_10_9_x86_64.whl 130.1 kB CPython 3.9 CPython 3.9 macOS 10.9+ x86-64 Details
low_index-1.3-cp39-cp39-macosx_10_9_universal2.whl 255.7 kB CPython 3.9 CPython 3.9 macOS 10.9+ universal2 (ARM64, x86-64) Details
low_index-1.3-cp38-cp38-win_amd64.whl 214.6 kB CPython 3.8 CPython 3.8 Windows x86-64 Details
low_index-1.3-cp38-cp38-win32.whl 186.2 kB CPython 3.8 CPython 3.8 Windows x86-32 Details
low_index-1.3-cp38-cp38-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl 129.5 kB CPython 3.8 CPython 3.8 Linux glibc 2.24+ x86-64, Linux glibc 2.28+ x86-64 Details
low_index-1.3-cp38-cp38-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl 119.8 kB CPython 3.8 CPython 3.8 Linux glibc 2.24+ ARM64, Linux glibc 2.28+ ARM64 Details
low_index-1.3-cp38-cp38-macosx_11_0_arm64.whl 129.7 kB CPython 3.8 CPython 3.8 macOS 11.0+ ARM64 Details
low_index-1.3-cp38-cp38-macosx_10_9_x86_64.whl 129.9 kB CPython 3.8 CPython 3.8 macOS 10.9+ x86-64 Details
low_index-1.3-cp38-cp38-macosx_10_9_universal2.whl 255.3 kB CPython 3.8 CPython 3.8 macOS 10.9+ universal2 (ARM64, x86-64) Details

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This release

1.3 This release

56 release files

1.2.1

51 release files

1.2

44 release files

1.1.1

27 release files

1.1.0

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1.0.0

26 release files

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