Torsion Units in the Integral Group Ring of the Alternating Group of Degree 6 |
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| Authors: | Mohamed Ahmed M. Salim |
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| Affiliation: | 1. Department of Mathematical Sciences, Faculty of Science , UAE University , Al-Ain, The United Arab Emirates msalim@uaeu.ac.ae |
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| Abstract: | It was conjectured by H. Zassenhaus that a torsion unit of an integral group ring ?G of a finite group G conjugates to a group element within the rational group algebra ?G. We investigate the Zassenhaus Conjecture (ZC) and a conjecture by W. Kimmerle about prime graph in the normalized unit group of ?A6. |
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| Keywords: | Alternating groups Group of units Integral group rings Kimmerle's conjecture Zassenhaus conjecture |
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