mathematicskit.abstract_algebra
===============================


.. include:: /_generated/nav/abstract_algebra.rst

Cyclic and permutation groups with Cayley table generation;
group-property checks (order, identity, inverses, abelian, cyclicity);
subgroup and coset enumeration for small groups; finite field arithmetic
(``GF(p)`` and ``GF(p^n)`` via irreducible polynomials over ``GF(p)``);
and polynomial ring arithmetic (addition, multiplication, division with
remainder, gcd) over :math:`\mathbb{Z}`, :math:`\mathbb{Q}`, and finite
fields. Every algorithm is hand-rolled -- finite group/ring/field theory
has no ``numpy``/``scipy`` equivalent.

.. automodule:: mathematicskit.abstract_algebra
   :members:
   :undoc-members: