On the Modular Isomorphism Problem for groups of class 3 and obelisks
Rings and Algebras
2023-09-25 v2 Group Theory
Abstract
We study the Modular Isomorphism Problem applying a combination of existing and new techniques. We make use of the small group algebra to give a positive answer for two classes of groups of nilpotency class 3. We also introduce a new approach to derive properties of the lower central series of a finite -group from the structure of the associated modular group algebra. Finally, we study the class of so-called -obelisks which are highlighted by recent computer-aided investigations of the problem.
Cite
@article{arxiv.2009.13970,
title = {On the Modular Isomorphism Problem for groups of class 3 and obelisks},
author = {L. Margolis and M. Stanojkovski},
journal= {arXiv preprint arXiv:2009.13970},
year = {2023}
}
Comments
25 pages, minor revisions, including referee's suggestions. To appear in Journal of Group Theory