Torsion units in integral group ring of the Mathieu simple group M22

V. A. Bovdi; A. B. Konovalov; S. Linton

Torsion units in integral group ring of the Mathieu simple group M22

Rings and Algebras 2007-05-23 v2 Group Theory

Authors: V. A. Bovdi , A. B. Konovalov , S. Linton

Abstract

We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of Mathieu sporadic group $M_{22}$ . We confirm the Kimmerle conjecture on prime graphs for this group and specify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.

Keywords

torsion units integral group ring Mathieu simple group Kimmerle conjecture Zassenhaus conjecture partial augmentations

Cite

@article{arxiv.0704.3733,
  title  = {Torsion units in integral group ring of the Mathieu simple group M22},
  author = {V. A. Bovdi and A. B. Konovalov and S. Linton},
  journal= {arXiv preprint arXiv:0704.3733},
  year   = {2007}
}

Comments

12 pages (8 pages + appendix), updated references

Torsion units in integral group ring of the Mathieu simple group M22

Abstract

Keywords

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