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American Mathematical Society, Mathematics of Computation, 273(80), p. 593-615

DOI: 10.1090/s0025-5718-2010-02376-2

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Torsion units in integral group rings of Janko simple groups

Journal article published in 2006 by V. A. Bovdi, E. Jespers, A. B. Konovalov ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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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. ; Comment: 23 pages, to appear in Math.Comp.