8 citations · 17 across the 6 of their papers we have counts for
6 papers
On the first Zassenhaus conjecture and direct products
Andreas Bächle, Wolfgang Kimmerle, Mariano Serrano
In this paper we study the behavior of the first Zassenhaus conjecture (ZC1) under direct products as well as the General Bovdi Problem (Gen-BP) which turns out to be a slightly we…
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 Gruenberg-Kegel Graph of Integral Group Rings of Finite Groups
Wolfgang Kimmerle, Alexander Konovalov
The prime graph question asks whether the Gruenberg-Kegel graph of an integral group ring , i.e. the prime graph of the normalised unit group of coincid…
-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…
Finite groups of units and their composition factors in the integral group rings of the groups
Martin Hertweck, Christian R. Höfert, Wolfgang Kimmerle
Let denote the projective special linear group , for a prime power . It is shown that a finite 2-subgroup of the group of augmentation 1 un…
On the first Zassenhaus conjecture for integral group rings
V. Bovdi, C. Höfert, W. Kimmerle
It was conjectured by H. Zassenhaus that a torsion unit of an integral group ring of a finite group is conjugate to a group element within the rational group algebra. The object of…