MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

On the Modular Isomorphism Problem for groups of class 3 and obelisks

Leo Margolis and Mima Stanojkovski


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 p-group from the structure of the associated modular group algebra. Finally, we study the class of so-called p-obelisks which are highlighted by recent computer-aided investigations of the problem.

MSC Codes:
20C05, 20D15, 16U60
Modular Isomorphism Problem, modular group algebra, finite p-groups, small group algebra

Related publications

2022 Repository Open Access
Leo Margolis and Mima Stanojkovski

On the modular isomorphism problem for groups of class 3 and obelisks

In: Journal of group theory, 25 (2022) 1, pp. 163-206