Subgroup separability in integral group rings

Details Subgroup separability in integral group rings Subgroup separability in integral group rings

2010-12-13

arxiv.org/abs/1012.2801v2

Mathematics

Group Theory

9 pages

Scientific paper

We give a list of finite groups containing all finite groups $G$ such that
the group of units $\Z G^*$ of the integral group ring $\Z G$ is subgroup
separable. There are only two types of these groups $G$ for which we cannot
decide wether $ZG^*$ is subgroup separable, namely the central product $Q_8 Y
D_8$ and $Q_8\times C_p{with} p \text{prime and} p\equiv -1 \mod (8)$.

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