English

Torsion units in integral group ring of Higman-Sims simple group

Rings and Algebras 2007-05-23 v1 Group Theory

Abstract

Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Higman-Sims simple sporadic group HS. As a consequence, we confirm the Kimmerle's conjecture on prime graphs for this sporadic group.

Keywords

Cite

@article{arxiv.0705.2391,
  title  = {Torsion units in integral group ring of Higman-Sims simple group},
  author = {V. A. Bovdi and A. B. Konovalov},
  journal= {arXiv preprint arXiv:0705.2391},
  year   = {2007}
}

Comments

10 pages