REAL

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

Salim, Mohamed A. M. (2011) Kimmerle's conjecture for integral group rings of some alternating groups. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 27 (1). pp. 9-22. ISSN 0866-0174

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Abstract

Using the Luthar–Passi method and results of Hertweck, westudy the long-standing conjecture of Zassenhaus for integral group rings of alternating groups An, n ≤ 8. As a consequence of our results, we confirm the Kimmerle’s conjecture about prime graphs for those groups.

Item Type: Article
Uncontrolled Keywords: Zassenhaus conjecture, Kimmerle conjecture, torsion unit, integral group ring
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 02 Feb 2024 10:19
Last Modified: 02 Feb 2024 10:19
URI: http://real.mtak.hu/id/eprint/187152

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