Torsion units in integral group rings of Janko simple groups

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

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

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 J1, J2 and J3 is the same as that of the normalized unit group of their respective integral group ring.

Original languageEnglish
Pages (from-to)593-615
Number of pages23
JournalMathematics of Computation
Volume80
Issue number273
DOIs
Publication statusPublished - 2010
Externally publishedYes

Keywords

  • Integral group ring
  • Partial augmentation
  • Prime graph
  • Torsion unit
  • Zassenhaus conjecture

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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