The orders of torsion units in integral group rings of finite solvable groups

2007/03/19 by Martin Hertweck, Hertweck, Martin · 1 citation
Mathematics · #16S34 #16U60 (Primary) 20C05 (Secondary) #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16S34 #msc:16U60 #msc:20C05

paper · pdf · doi:10.48550/arxiv.math/0703541

3 pages

arxiv created 2007/03/19 · openalex publication_date 2007/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that for any torsion unit of augmentation one in the integral group ring ℤ G of a finite solvable group G, there is an element of G of the same order.

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