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Torsion units in integral group rings of Janko simple groups

V. A. Bovdi·E. Jespers·A. B. Konovalov
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Abstract

Using the Luthar--Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of integral group rings of Janko sporadic simple groups. As a consequence, we obtain that the Gruenberg-Kegel graph of the Janko groups $J_1$, $J_2$ and $J_3$ is the same as that of the normalized unit group of their respective integral group ring.

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V. A. Bovdi, E. Jespers, A. B. Konovalov. 2010-05-05. Torsion units in integral group rings of Janko simple groups. https://arxiv.org/abs/math/0608441

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