17 citations · 109 across the 23 of their papers we have counts for
32 papers
On integral decomposition of unipotent elements in integral group rings
Geoffrey Janssens, Leo Margolis
Jespers and Sun conjectured that if a finite group has the property ND, i.e. for every nilpotent element in the integral group ring and every primitive centra…
On the modular isomorphism problem for groups of nilpotency class 2 with cyclic center
Diego García-Lucas, Leo Margolis
We show that the modular isomorphism problem has a positive answer for groups of nilpotency class 2 with cyclic center, i.e. that for such p-groups G and H an isomorphism between t…
The Modular Isomorphism Problem: a survey
Leo Margolis
The Modular Isomorphism Problem asks if an isomorphism of group algebras of two finite p-groups G and H over a field of characteristic p, implies an isomorhism of the groups G and…
Abelian invariants and a reduction theorem for the modular isomorphism problem
Leo Margolis, Taro Sakurai, Mima Stanojkovski
We show that elementary abelian direct factors can be disregarded in the study of the modular isomorphism problem. Moreover, we obtain four new series of abelian invariants of the…
Non-isomorphic 2-groups with isomorphic modular group algebras
Diego García, Leo Margolis, Ángel del Río
We provide non-isomorphic finite 2-groups which have isomorphic group algebras over any field of characteristic 2, thus settling the Modular Isomorphism Problem.
On the Modular Isomorphism Problem for groups of class 3 and obelisks
L. Margolis, M. 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…