group-theory: The theory of groups

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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:

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

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Versions,,, 0.2.2, 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
Home page
Bug tracker
Source repo head: git clone
Uploaded by topos at 2021-05-18T03:49:40Z


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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