Integral group ring of the Suzuki sporadic simple group

2008/03/14 by Victor Bovdi, V. A. Bovdi, A. B. Konovalov +6
Mathematics · #16S34 #20C05 #20D08 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #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.0803.2215

12 pages

arxiv created 2008/03/14 · openalex publication_date 2008/03/14 · 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 classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Suzuki sporadic simple group Suz. As a consequence, for this group we confirm the Kimmerle's conjecture on prime graphs.

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