Kimmerle conjecture for the Held and O'Nan sporadic simple groups

2009/02/13 by V. Bovdi, Victor Bovdi, A. Grishkov +5
Mathematics · #16S34 #20C05 #20D08 #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16S34 #msc:20C05 #msc:20D08

paper · pdf · doi:10.48550/arxiv.0902.2280

9 pages

arxiv created 2009/02/13 · openalex publication_date 2009/02/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the Luthar--Passi method, we investigate the Zassenhaus and Kimmerle conjectures for normalized unit groups of integral group rings of the Held and O'Nan sporadic simple groups. We confirm the Kimmerle conjecture for the Held simple group and also derive for both groups some extra information relevant to the classical Zassenhaus conjecture.

Citations

• Partial augmentations and Brauer character values of torsion units in group rings

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