A Tour through the AbstractAlgebra Packages

Al Hibbard
Central College

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This session is intended to acquaint users with a suite of packages whose focus is abstract algebra. These enable the user to define and work with groups, rings, fields, and morphisms between these structures. There are a large number of built-in groups, rings, and morphisms as well as a large collection of functions to act on them. This project has been in the works for a number of years and will first be made publicly available at this session. It will also be packaged with a book called Exploring Abstract Algebra with Mathematica(Springer-Verlag, fall 1998), which is a series of group and ring laboratory notebooks and a user's guide to the packages written by Ken Levasseur and myself. The session will give an overview of the packages and illustrate the capabilities, in particular highlighting the use of visualization to help understand algebraic concepts.