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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• ReedMullanix, topos

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• 0.1.0.0, 0.2.0.0, 0.2.1.0, 0.2.2