13 citations · 19 across the 5 of their papers we have counts for
5 papers
3 questions on cut groups
Andreas Bächle
This short note collects three open questions on cut groups (a class of groups generalizing rational groups).
Abelianization and fixed point properties of units in integral group rings
Andreas Bächle, Geoffrey Janssens, Eric Jespers +2
Let be a finite group and the unit group of the integral group ring . We prove a unit theorem, namely a characterization of when $\ma…
An application of blocks to torsion units in group rings
Andreas Bächle, Leo Margolis
We use the theory of blocks of cyclic defect to prove that under a certain condition on the principal p-block of a finite group G the normalized unit group of the integral group ri…
Integral group rings of solvable groups with trivial central units
Andreas Bächle
The integral group ring of a group has only trivial central units, if the only central units of are for in the center of . We show…
The Subgroup Normalizer Problem for Integral Group Rings of some Nilpotent and Metacyclic Groups
Andreas Bächle
For a group and a subgroup of this article discusses the normalizer of in the units of a group ring . We prove that is only normalized by the `obvious' unit…