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

Andreas B\"achle; Leo Margolis

arxiv: 1412.7700 · v2 · pith:WNPGUBYFnew · submitted 2014-12-24 · 🧮 math.GR · math.RA· math.RT

Torsion subgroups in the units of the integral group ring of PSL(2,p³)

Andreas B\"achle , Leo Margolis This is my paper

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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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Torsion subgroups in the units of the integral group ring of PSL(2,p³)

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