17 citations · 109 across the 23 of their papers we have counts for
7 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…
Twisted group ring isomorphism problem
Leo Margolis, Ofir Schnabel
We propose and study a variation of the classical isomorphism problem for group rings in the context of projective representations. We formulate several weaker conditions following…
The status of the Zassenhaus conjecture for small groups
Andreas Bächle, Allen Herman, Alexander Konovalov +2
We identify all small groups of order up to 288 in the GAP Library for which the Zassenhaus conjecture on rational conjugacy of units of finite order in the integral group ring can…
Zassenhaus Conjecture on torsion units holds for with a Fermat or Mersenne prime
Leo Margolis, Ángel del Río, Mariano Serrano
H.J. Zassenhaus conjectured that any unit of finite order in the integral group ring of a finite group is conjugate in the rational group algebra to…
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…
-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…