Kimmerle's conjecture for integral group rings of some alternating groups

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9 Citations (Scopus)

Abstract

Using the Luthar-Passi method and results of Hertweck, we study the long-standing conjecture of Zassenhaus for integral group rings of alternating groups An, n ≤ 8. As a consequence of our results, we confirm the Kimmerle's conjecture about prime graphs for those groups.

Original languageEnglish
Pages (from-to)9-22
Number of pages14
JournalActa Mathematica Academiae Paedagogicae Nyiregyhaziensis
Volume27
Issue number1
Publication statusPublished - 2011

Keywords

  • Integral group ring
  • Kimmerle conjecture
  • Torsion unit
  • Zassenhaus conjecture

ASJC Scopus subject areas

  • General Mathematics
  • Education

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