University of Isfahan International Journal of Group Theory 2251-7650 2 1 2013 03 01 The prime graph conjecture for integral group rings of some alternating groups 175 185 2759 10.22108/ijgt.2013.2759 EN Mohamed Salim UNITED ARAB EMIRATES UNIVERSITY Journal Article 2013 03 22 We investigate the classical H. Zassenhaus conjecture‎ ‎for integral group rings of alternating groups $A_9$ and $A_{10}$ of degree‎ ‎$9$ and $10$‎, ‎respectively‎. ‎As a consequence of our‎ ‎previous results we confirm the Prime Graph‎ ‎Conjecture for integral group rings of $A_n$ for all $n \leq 10$‎. integral group ring Zassenhaus Conjecture Prime Graph Conjecture torsion unit https://ijgt.ui.ac.ir/article_2759_c14fa9a571a2516ee5a9f8892f18fddc.pdf