group-theory: The theory of groups

[ algebra, bsd3, groups, library, math, permutations ] [ Propose Tags ]

This package includes definitions for Groups (Monoids with invertibility), including order calculations as well as finite, free, cyclic, and permutation groups. Additionally, we add the concept of Cancellative functors, building upon Alternative applicative functors.

There are other group theory related packages on Hackage:

  • groups: A minimal, low-footprint definition

  • magmas: A pedagogical hierarchy of algebras, starting from Magmas, including Loops, and Inverse Semigroups.

  • arithmoi: Number theory, typelevel modular arithmetic, and cyclic groups.

This package, group-theory, tries to combine the best parts, while focusing on usability and intuitiveness.

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Versions [RSS],,, 0.2.2
Change log
Dependencies base (>=4.11 && <5), containers (>=0.5 && <0.7), groups (>=0.5.3 && <0.6) [details]
License BSD-3-Clause
Copyright (c) 2020-2021 Emily Pillmore <>
Author Emily Pillmore
Maintainer Emily Pillmore <>, Reed Mullanix <>
Category Algebra, Math, Permutations, Groups
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Source repo head: git clone
Uploaded by topos at 2021-05-18T03:49:58Z
Downloads 652 total (12 in the last 30 days)
Rating 2.25 (votes: 2) [estimated by Bayesian average]
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Status Docs available [build log]
Last success reported on 2021-05-18 [all 1 reports]

Readme for group-theory-0.2.2

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This is a package for exploring constructive group theory in Haskell.

Contact Information

Contributions and bug reports are welcome!

Co-maintained by Emily Pillmore (@topos) and Reed Mullanix (@totbwf). Please feel free to contact either myself, or Reed through github or on the #haskell IRC channel on

- Emily