Kimmerle's conjecture for integral group rings of some alternating groups

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

Mohamed A. M. Salim¹ 

[1] United Arab Emirates University

关键词: integral group ring;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

Using the Luthar-Passi method and results of Hertweck, we study the long-standing conjecture of Zassenhaus for integral group rings of alternating groups $A_{n}$, $nleq 8$. As a consequence of our results, we confirm the Kimmerle's conjecture about prime graphs for those groups.

【 授权许可】

Unknown