Torsion units in integral group rings of Janko simple groups

Details Torsion units in integral group rings of Janko simple groups Torsion units in integral group rings of Janko simple groups

2006-08-17

arxiv.org/abs/math/0608441v5

Mathematics

Group Theory

23 pages, to appear in Math.Comp.

Scientific paper

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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