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5 papers
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…
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…
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…
-subgroups of units in
Wolfgang Kimmerle, Leo Margolis
We consider the question whether a Sylow like theorem is valid in the normalized units of integral group rings of finite groups. After a short survey on the known results we show t…