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arXiv · 1412.7700

Torsion subgroups in the units of the integral group ring of PSL(2,p^3)

Andreas Bächle·Leo Margolis
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Abstract

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.

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Andreas Bächle, Leo Margolis. 2014-12-24. Torsion subgroups in the units of the integral group ring of PSL(2,p^3). https://doi.org/10.1007/s00013-015-0784-z

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