The prime graph conjecture for integral group rings of some alternatings groups

Document Type : Ischia Group Theory 2012

Author

UNITED ARAB EMIRATES UNIVERSITY

Abstract

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 $n \leq 10$‎.

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Main Subjects


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