13 citations · 14 across the 3 of their papers we have counts for
4 papers · 1 filter
Orders of units in integral group rings and blocks of defect
Mauricio Caicedo, Leo Margolis
We show that if the Sylow -subgroup of a finite group is of order , then the normalized unit group of the integral group ring of contains a normalized unit of order $…
Finite Subgroups of Group Rings: A survey
Leo Margolis, Ángel del Río
In the 1940's Graham Higman initiated the study of finite subgroups of the unit group of an integral group ring. Since then many fascinating aspects of this structure have been dis…
The Herzog-Schönheim Conjecture for small groups and harmonic subgroups
Leo Margolis, Ofir Schnabel
We prove that the Herzog-Schönheim Conjecture holds for any group of order smaller than . In other words we show that in any non-trivial coset partition $\{g_i U_i\}_{i=1…
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…