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

Abstract

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

7 pages, [v2]: minor changes, some typos corrected

Cited by in corpus (1)

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