GAPien

GAPien is a software package used for computational discrete algebra, specifically designed for group theory. It was developed by the GAP (Groups, Algorithms, and Programming) System group, which is a collaborative effort involving researchers and developers from various institutions worldwide. The software is written in the GAP language, which is a high-level programming language specifically designed for computational algebra.

GAPien is an extension of the GAP system, providing additional functionality and tools for working with groups. It includes a wide range of algorithms and data structures for group theory, making it a valuable resource for researchers and students in the field. The software is open-source, allowing users to access, modify, and distribute the code freely.

One of the key features of GAPien is its ability to handle large groups efficiently. It includes algorithms for group construction, such as the construction of permutation groups and matrix groups, as well as algorithms for group operations, such as group multiplication and group inversion. Additionally, GAPien provides tools for group theory research, including algorithms for group classification and group representation theory.

GAPien is widely used in academia and industry for a variety of applications, including cryptography, coding theory, and computer algebra. Its open-source nature and active development community make it a popular choice for researchers and developers in the field of computational algebra.