Torsion units in integral group rings of Janko simple groups

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

Torsion units in integral group rings of Janko simple groups

Group Theory 2010-05-06 v5 Rings and Algebras

Authors: V. A. Bovdi , E. Jespers , A. B. Konovalov

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.

Keywords

torsion units integral group rings janko simple groups zassenhaus conjecture luthar-passi method gruenberg-kegel graph

Cite

@article{arxiv.math/0608441,
  title  = {Torsion units in integral group rings of Janko simple groups},
  author = {V. A. Bovdi and E. Jespers and A. B. Konovalov},
  journal= {arXiv preprint arXiv:math/0608441},
  year   = {2010}
}

Comments

23 pages, to appear in Math.Comp.

Torsion units in integral group rings of Janko simple groups

Abstract

Keywords

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