Algebraic computing using GAP

GAP (Groups, Algorithms, and Programming) is a powerful open-source software system designed for computational discrete algebra with a particular focus on computational group theory. Developed by an international consortium of mathematicians, GAP provides a rich environment for experimenting with and exploring mathematical structures. It features an extensive library of algebraic algorithms, functions for group and representation theory, and tools for constructing and analyzing algebraic objects. GAP’s highly customizable scripting language allows users to implement new algorithms, facilitating both research and education in algebraic disciplines

• Basic understanding of algebra and group theory
• Familiarity with programming concepts is helpful but not required

By the end of this course, participants will be able to:

• Demonstrate proficiency in using GAP for various algebraic computations.
• Create and manipulate basic algebraic structures such as groups, rings,and fields.
• Utilize GAP’s extensive library of functions and algorithms effectively.
• Write, run, and debug scripts in GAP’s programming language.
• Implement custom algorithms to solve specific algebraic problems.
• Apply GAP to advanced topics such as representation theory, polynomial equations, and graph theory.
• Integrate GAP with other mathematical software and handle data import/export.