Integral group ring of the Mathieu simple group M 24

Victor Bovdi, Alexander Konovalov

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We study the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic group M 24. As a consequence, for this group we give a positive answer to the question by Kimmerle about prime graphs.

Original languageEnglish
Article number1250016
JournalJournal of Algebra and its Applications
Volume11
Issue number1
DOIs
Publication statusPublished - Feb 2012
Externally publishedYes

Keywords

  • Mathieu simple groups
  • Zassenhaus conjecture
  • integral group ring
  • partial augmentation
  • torsion unit

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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