13 citations · 14 across the 3 of their papers we have counts for
8 papers · 1 filter
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…
From examples to methods: Two cases from the study of units in integral group rings
Andreas Bächle, Leo Margolis
In this article, we review the proofs of the first Zassenhaus Conjecture on conjugacy of torsion units in integral group rings for the alternating groups of degree 5 and 6, by Luth…
The twisted group ring isomorphism problem over fields
L. Margolis, O. Schnabel
Similarly to how the classical group ring isomorphism problem asks, for a commutative ring , which information about a finite group is encoded in the group ring , the tw…
An application of blocks to torsion units in group rings
Andreas Bächle, Leo Margolis
We use the theory of blocks of cyclic defect to prove that under a certain condition on the principal p-block of a finite group G the normalized unit group of the integral group ri…
An algorithm to construct candidates to counterexamples to the Zassenhaus Conjecture
Leo Margolis, Ángel del Río
Let be a finite group, a nilpotent normal subgroup of and let denote the group formed by the units of the integral group ring $\mathbb{\Z…
A Counterexample to the First Zassenhaus Conjecture
Florian Eisele, Leo Margolis
Hans J. Zassenhaus conjectured that for any unit of finite order in the integral group ring of a finite group there exists a unit in the rational group algebra of s…