The theory of groups.

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.

group-theory

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 irc.freenode.net.

- Emily.