On the isomorphism problem for unit groups of modular group algebras

Abstract

Using the computational algebra system GAP (http://www.gap-system.org) and the GAP package LAGUNA (http://www.cs.st-andrews.ac.uk/~alexk/laguna.htm), we checked that all 2-groups of order not greater than 32 are determined by normalized unit groups of their modular group algebras over the field of two elements.

arXiv comment6 pages, accepted in Acta Sci. Math. (Szeged)