17 citations · 109 across the 23 of their papers we have counts for
6 papers · 1 filter
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…
On the Prime Graph Question for Integral Group Rings of Conway simple groups
Leo Margolis
The Prime Graph Question for integral group rings asks if it is true that if the normalized unit group of the integral group ring of a finite group contains an element of order…
A theorem of Hertweck on -adic conjugacy of -torsion units in group rings
Leo Margolis
A proof of a theorem of M. Hertweck presented during a seminar in January 2013 in Stuttgart is given. The proof is based on a preprint given to me by Hertweck. Let be a commuta…
Partial Augmentations Power property: A Zassenhaus Conjecture related problem
Leo Margolis, Ángel del Río
Zassenhaus conjectured that any unit of finite order in the integral group ring of a finite group is conjugate in the rational group algebra of to an element…
Cliff-Weiss Inequalities and the Zassenhaus Conjecture
Leo Margolis, Ángel del Río
Let be a nilpotent normal subgroup of the finite group . Assume that is a unit of finite order in the integral group ring of which maps to the identit…