English

Integral group ring of the Mathieu simple group M23

Rings and Algebras 2007-05-23 v2 Representation Theory

Abstract

We investigate the classical Zassenhaus conjecture for the unit group of the integral group ring of Mathieu simple group M23 using the Luthar-Passi method. This work is a continuation of the research that we carried out for Mathieu groups M11 and M12. As a consequence, for this group we confirm Kimmerle's conjecture on prime graphs.

Cite

@article{arxiv.math/0612640,
  title  = {Integral group ring of the Mathieu simple group M23},
  author = {V. A. Bovdi and A. B. Konovalov},
  journal= {arXiv preprint arXiv:math/0612640},
  year   = {2007}
}

Comments

9 pages, updated bibliography and corrected part (i) of the Theorem