On the isomorphism problem for unit groups of modular group algebras
Rings and Algebras
2011-11-09 v2 Group Theory
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.
Keywords
Cite
@article{arxiv.math/0607287,
title = {On the isomorphism problem for unit groups of modular group algebras},
author = {A. Konovalov and A. Krivokhata},
journal= {arXiv preprint arXiv:math/0607287},
year = {2011}
}
Comments
6 pages, accepted in Acta Sci. Math. (Szeged)