Integral group ring of the McLaughlin simple group

2007/05/21 by Victor Bovdi, V. A. Bovdi, Bovdi, V. A. +3
Computer Science · Engineering · Mathematics · #16S34 #20C05 #20D08 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings and Algebras (math.RA) #graph theory and CDMA systems #math.GR #math.RA #msc:16S34 #msc:20C05 #msc:20D08

paper · pdf · doi:10.48550/arxiv.0705.3002

8 pages

arxiv created 2007/05/21 · openalex publication_date 2007/05/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group McL. As a consequence, we confirm for this group the Kimmerle's conjecture on prime graphs.

Citations

• Partial augmentations and Brauer character values of torsion units in group rings
• Integral group ring of the Mathieu simple group M23

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