Article ID Journal Published Year Pages File Type
4587769 Journal of Algebra 2008 16 Pages PDF
Abstract

We describe a new algorithm for computing automorphism groups and checking isomorphism of nilpotent finite dimensional associative algebras over a finite field. The algorithm can also be applied to modular group algebras and thus yields a new approach for checking the modular isomorphism problem. We report on its application to the groups of order dividing 28 and 36.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory