low-index

Enumerates low index subgroups of a finitely presented group

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Development Status
- 5 - Production/Stable
Intended Audience
- Science/Research
License
- OSI Approved :: GNU General Public License v2 or later (GPLv2+)
Operating System
- OS Independent
Programming Language
- C++
- Python
Topic
- Scientific/Engineering :: Mathematics

Project description

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

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 details

These details have not been verified by PyPI

Project links

Homepage

GitHub Statistics

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Development Status
- 5 - Production/Stable
Intended Audience
- Science/Research
License
- OSI Approved :: GNU General Public License v2 or later (GPLv2+)
Operating System
- OS Independent
Programming Language
- C++
- Python
Topic
- Scientific/Engineering :: Mathematics

Release history Release notifications | RSS feed

This version

1.2

May 20, 2023

1.1.1

Apr 25, 2022

1.1.0

Mar 18, 2022

1.0.0

Mar 12, 2022

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SHA256	`41bc956bc56bf58c0a006ecd679cc344e9a72499b95f217a2f1d778aedb7b0f1`
MD5	`151dda7ad14a3a79339e39ef27d989ae`
BLAKE2b-256	`1f10fbae9df1f335c5071f58dff5c98875688ad0e603f0a13eb8f41f43045a60`

Hashes for low_index-1.2-cp38-cp38-win32.whl

Hashes for low_index-1.2-cp38-cp38-win32.whl
Algorithm	Hash digest
SHA256	`8654b0771a89dd1df344c7b616efae1088c95df7cada94c927a6e8c20fbe562b`
MD5	`14269d465bfc083681137e169ab2757c`
BLAKE2b-256	`3213bf6d0db8a5b5a9c767cd93733e57007d590a1a50b3eb2b90657844afed53`

Hashes for low_index-1.2-cp38-cp38-manylinux_2_17_x86_64.manylinux2014_x86_64.whl

Hashes for low_index-1.2-cp38-cp38-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
Algorithm	Hash digest
SHA256	`fefd089da2c1f1f220c11e9f4bb59aa21dcdcfe607dd0dfaf2be8abbfb025e85`
MD5	`eddaef6e1918e244dc46af71b78277c6`
BLAKE2b-256	`bc74994265d8bb195c15353c1fd1a4c122e448cd064da38a0d20e01a46cc299e`

Hashes for low_index-1.2-cp38-cp38-macosx_11_0_arm64.whl

Hashes for low_index-1.2-cp38-cp38-macosx_11_0_arm64.whl
Algorithm	Hash digest
SHA256	`8f07433719b4f90d14b87af84b02258a640042de143217b54a76d49cd1098cef`
MD5	`f79d8e6f674dfa5704b0ce8e6b5b70a4`
BLAKE2b-256	`77ed3fb24868c6888cb1bb99311a859dfefba681c294e8dcb8479ce6277d76f5`

Hashes for low_index-1.2-cp38-cp38-macosx_10_9_x86_64.whl

Hashes for low_index-1.2-cp38-cp38-macosx_10_9_x86_64.whl
Algorithm	Hash digest
SHA256	`6792cf1c8decaef853d26c4f674fc74999381829fe21e78e0c8f8fc6cdd930c4`
MD5	`83baa3cf139ec17167c240a1f737f6b3`
BLAKE2b-256	`5271853698a67e0aad86bb2cdf8c528fb1d40e9440f7eff3818c1862efcfc6ac`

Hashes for low_index-1.2-cp38-cp38-macosx_10_9_universal2.whl

Hashes for low_index-1.2-cp38-cp38-macosx_10_9_universal2.whl
Algorithm	Hash digest
SHA256	`8ea53cb9a07532c47028e4b1668d286d428930215a2a2fb6d0bd93b20f65e935`
MD5	`651f2ffb7b352b56e6924023d4a74377`
BLAKE2b-256	`63bb15ab0025c3cead1bef8049dbc827da1f485ee542247a880bedd2b8e36927`

Hashes for low_index-1.2-cp37-cp37m-win_amd64.whl

Hashes for low_index-1.2-cp37-cp37m-win_amd64.whl
Algorithm	Hash digest
SHA256	`41cff2c4863bd3841532ea057264db4d88476893c891fee0651602924115c53d`
MD5	`097713ac9a5a3cd2316c7558d3fa9592`
BLAKE2b-256	`f4bb201c61c26e5e4324deabb907f2afdd8642a79c176e438f28d586aec1d299`

Hashes for low_index-1.2-cp37-cp37m-win32.whl

Hashes for low_index-1.2-cp37-cp37m-win32.whl
Algorithm	Hash digest
SHA256	`85960cad8abdc1c27fcb1add47557c97d91a1544727e5d903316a3ee74e1e850`
MD5	`cb139bdf2fc15bd06b882a1cce6ec0ab`
BLAKE2b-256	`f3345cb4a1641f64275205a1db858dd7bc651f3468a9501cf90a844b79d932dd`

Hashes for low_index-1.2-cp37-cp37m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl

Hashes for low_index-1.2-cp37-cp37m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
Algorithm	Hash digest
SHA256	`bb2c3ea2021b8a5a6b6b5c15bceb65337233105acfd1e7f6a676f5e027a6beef`
MD5	`8470a0e85004955ab933f0ad557c1ccd`
BLAKE2b-256	`47e4c3800300c666d2d6ad602f3088c782025a4986d666748011de812666af28`

Hashes for low_index-1.2-cp37-cp37m-macosx_10_9_x86_64.whl

Hashes for low_index-1.2-cp37-cp37m-macosx_10_9_x86_64.whl
Algorithm	Hash digest
SHA256	`839d27f8f6d6eb080d9db4b15e78b29e3d45f7d24fe47b31adea68311139690c`
MD5	`24834d660739535e1417f602a842b2ea`
BLAKE2b-256	`ad3fc6a4fe961d5605abef56cd06d35d45fe5608daed3b71e97389868672536d`

Hashes for low_index-1.2-cp36-cp36m-win_amd64.whl

Hashes for low_index-1.2-cp36-cp36m-win_amd64.whl
Algorithm	Hash digest
SHA256	`47a20fb4eb7602e8c9d87e719c009586708bd67a49dbd4abe483905ec7d080bc`
MD5	`48cb027b76d80841e95b368c6a28f4e1`
BLAKE2b-256	`6a09436935f525df28c330ccdfd6e9d57c9c32698ec97bb24970e75678309bf3`

Hashes for low_index-1.2-cp36-cp36m-win32.whl

Hashes for low_index-1.2-cp36-cp36m-win32.whl
Algorithm	Hash digest
SHA256	`70229d88eb4f3d2e03c5087e5c37b7ab0c197c392039709a51354a6ea1186f30`
MD5	`86df6e51ef98d4197fcc16ee134043dd`
BLAKE2b-256	`2792198279967fa2216602f7761b00ee3405235f16f194bca6887c68e44d636d`

Hashes for low_index-1.2-cp36-cp36m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl

Hashes for low_index-1.2-cp36-cp36m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
Algorithm	Hash digest
SHA256	`9bc3d622a02410d8d171864b8db5817a9b91879acc13ed3101d6cb58affe4263`
MD5	`15a28b35101f88eba167b116f03523d6`
BLAKE2b-256	`48f9e2a8b91562dab90cdfbabc3001c9fa3ac0e03a7a54dbe169a83d10044a1c`

Hashes for low_index-1.2-cp36-cp36m-macosx_10_9_x86_64.whl

Hashes for low_index-1.2-cp36-cp36m-macosx_10_9_x86_64.whl
Algorithm	Hash digest
SHA256	`a2c1824312df9600925a1823c9b58660af0a78fbf068b89513439898954a88bc`
MD5	`40425f0bc2cc2d053371040fa563b064`
BLAKE2b-256	`b6fa45e40529923e17f83561a1265f374d41775d0c4f08295e51e7c45c50e996`