Torsion subgroups in the units of the integral group ring of $\operatorname{PSL}(2,p^3)$

Andreas Bächle, Leo Margolis

Published 2014-12-24Version 1

We show that for every prime $r$ all $r$-subgroups in the normalized units of the integral group ring of $\operatorname{PSL}(2,p^3)$ are isomorphic to subgroups of $\operatorname{PSL}(2,p^3)$. This answers a question of M. Hertweck, C.R. H\"ofert and W. Kimmerle for this series of groups.