Torsion subgroups in the units of the integral group ring of PSL(2, p 3)

2014/12/31 by Andreas Bächle, Leo Margolis · 8 citations
Mathematics · #Algebraic Geometry and Number Theory #Finite Group Theory Research #Group (periodic table) #Group ring #Prime (order theory) #Ring (chemistry) #Rings, Modules, and Algebras #Torsion (gastropod) #math.GR #math.RA #math.RT #msc:16S34 #msc:16U60 #msc:20C05

paper · pdf · doi:10.1007/s00013-015-0784-z

published in Archiv der Mathematik 105(1), 1-11 (Birkhäuser) · 7 pages, [v2]: minor changes, some typos corrected

arxiv created 2015/02/25 · openalex publication_date 2015/06/23 · arxiv updated 2016/06/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We show that for every prime r all r-subgroups in the normalized units of the integral group ring of PSL(2,p³) are isomorphic to subgroups of PSL(2,p³). This answers a question of M. Hertweck, C.R. Höfert and W. Kimmerle for this series of groups.

Citations

• Algebraic Number Theory