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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 isomorphism 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 can 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-X.Y.Z.tar.gz and your installation is complete. To load the package, call

gap> LoadPackage( "modisom" );

Documentation

The manual of ModIsom is in the doc directory, as doc/manual.pdf or doc/chap0_mj.html.

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Computing automorphisms and checking isomorphisms for nilpotent associative algebras

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