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

2007/04/27 by Victor Bovdi, V. A. Bovdi, A. B. Konovalov +6
Mathematics · #16S34 #20C05 #20D08 #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA #msc:16S34 #msc:20C05 #msc:20D08

paper · pdf · doi:10.48550/arxiv.0704.3733

12 pages (8 pages + appendix), updated references

openalex publication_date 2007/04/27 · arxiv created 2007/05/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of Mathieu sporadic group M₂₂. We confirm the Kimmerle conjecture on prime graphs for this group and specify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.

Citations

• Integral group ring of the Mathieu simple group M23

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