Torsion units in integral group rings of Janko simple groups

Bovdi, V.; Jespers, E.; Konovalov, A.

doi:10.1090/S0025-5718-2010-02376-2

Torsion units in integral group rings of Janko simple groups
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by V. A. Bovdi, E. Jespers and A. B. Konovalov PDF

Math. Comp. 80 (2011), 593-615 Request permission

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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