17 citations · 109 across the 23 of their papers we have counts for
6 papers · 1 filter
Algorithmic aspects of units in group rings
Andreas Bächle, Wolfgang Kimmerle, Leo Margolis
We describe the main questions connected to torsion subgroups in the unit group of integral group rings of finite groups and algorithmic methods to attack these questions. We then…
On the Prime Graph Question for Integral Group Rings of 4-primary groups II
Andreas Bächle, Leo Margolis
In this article the study of the Prime Graph Question for the integral group ring of almost simple groups which have an order divisible by exactly different primes is continued…
On the Prime Graph Question for Integral Group Rings of 4-primary groups I
Andreas Bächle, Leo Margolis
We study the Prime Graph Question for integral group rings. This question can be reduced to almost simple groups by a result of Kimmerle and Konovalov. We prove that the Prime Grap…
HeLP -- A GAP-package for torsion units in integral group rings
Andreas Bächle, Leo Margolis
We briefly summarize the background of the HeLP-method for torsion units in group rings and present some functionality of a GAP-package implementing it.
Rational conjugacy of torsion units in integral group rings of non-solvable groups
Andreas Bächle, Leo Margolis
We introduce a new method to study rational conjugacy of torsion units in integral group rings using integral and modular representation theory. Employing this new method, we verif…
Zassenhaus conjecture for cyclic-by-abelian groups
Mauricio Caicedo, Leo Margolis, Ángel del Río
Zassenhaus Conjecture for torsion units states that every augmentation one torsion unit of the integral group ring of a finite group G is conjugate to an element of G in the units…