.. Documentation index
The ``dual_pairs`` package
==========================
The `SageMath`_ package ``dual_pairs`` implements computations with
finite locally free group schemes and Galois representations in the
form of *dual pairs of algebras*. See the preprint `Dual pairs of
algebras and finite commutative group schemes`_ for details.
.. _`SageMath`: http://www.sagemath.org/
.. _`Dual pairs of algebras and finite commutative group schemes`:
https://arxiv.org/abs/1709.09847
Author
------
Peter Bruin
Installation
------------
The package can be installed using
``$ sage --pip install dual_pairs``
Source code
-----------
The source code is available at .
Documentation of the modules
============================
The documentation pages in the table below are automatically
generated from the source code.
Dual pairs of algebras
----------------------
.. toctree::
:maxdepth: 2
dual_pair
dual_pair_from_dihedral_field
dual_pair_from_table
dual_pair_import
dual_pair_rational
Finite flat algebras
--------------------
.. toctree::
:maxdepth: 2
finite_flat_algebra
finite_flat_algebra_element
finite_flat_algebra_module
class_group
unit_group
selmer_group
Torsors and extension groups
----------------------------
.. toctree::
:maxdepth: 2
ext_group
torsor_class_group
torsor_pair
abelian_sheaf
simplicial_sheaf
Miscellaneous
-------------
.. toctree::
:maxdepth: 2
abelian_group_homomorphism
extensions
group_structure
padic_roots
smith_form
Indices and tables
==================
* :ref:`genindex`
* :ref:`modindex`
* :ref:`search`