ModIsom

ModIsom is a GAP4 package. It contains various methods for computing with nilpotent associative algebras. In particular, it contains a method to determine the automorphism group and to test isomorphis of such algebras over finite fields and of modular group algebras of finite p-groups, and it contains a nilpotent quotient algorithm for finitely presented associative algebras and a method to determine Kurosh algebras. Some of the functions to compute with nilpotent algebras are tailored towards application for the Modular Isomorphism Problem. Moreover, the package allows to compute various group theoretical properties of groups related to the Modular Isomorphism Problem.

Installation

To install the package ModIsom move the file modisom-X.Y.Z.tar.gz (or any other archive containing it) into the pkg directory. Usually this will be the pkg subdirectory in your GAP4 installation. However, it is also possible to have a pkg subdirectory in a different place, see the section Installing GAP Packages of the GAP4 reference manual for more information. Then simply unpack modisom-XX.tar.gz and your installation is complete. To load the package, call

gap> LoadPackage( "modisom" );

Documentation

The manual of ModIsom is contained in modisom/doc and modisom/htm directories.