Torsion units for some almost simple groups

Czechoslovak Mathematical Journal

Joe ¹ 

[1] Department of Mathematics, Faculty of Science and Engineering, University of Chester, Thornton Science Park, Pool Lane, Ince, Chester CH2 4NU, United Kingdom

关键词: Zassenhaus conjecture;    torsion unit;    partial augmentation;    integral group ring;   

DOI  :  

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

We investigate the Zassenhaus conjecture regarding rational conjugacy of torsion units in integral group rings for certain automorphism groups of simple groups. Recently, many new restrictions on partial augmentations for torsion units of integral group rings have improved the effectiveness of the Luther-Passi method for verifying the Zassenhaus conjecture for certain groups. We prove that the Zassenhaus conjecture is true for the automorphism group of the simple group $PSL(2,11)$. Additionally we prove that the Prime graph question is true for the automorphism group of the simple group $\rm PSL(2,13)$.

【 授权许可】

Unknown