Torsion Units in the Integral Group Ring of the Alternating Group of Degree 6

It was conjectured by H. Zassenhaus that a torsion unit of an integral group ring ℤG of a finite group G conjugates to a group element within the rational group algebra ℚG. We investigate the Zassenhaus Conjecture (ZC) and a conjecture by W. Kimmerle about prime graph in the normalized unit group of...

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Bibliographic Details
Published in:Communications in algebra 2007-12, Vol.35 (12), p.4198-4204
Main Author: Salim, Mohamed Ahmed M.
Format: Article
Language:English
Subjects:
Alternating groups
Group of units
Integral group rings
Kimmerle's conjecture
Primary 20C05, 20C10
Secondary 20C06, 16U60
Zassenhaus conjecture
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Summary:It was conjectured by H. Zassenhaus that a torsion unit of an integral group ring ℤG of a finite group G conjugates to a group element within the rational group algebra ℚG. We investigate the Zassenhaus Conjecture (ZC) and a conjecture by W. Kimmerle about prime graph in the normalized unit group of ℤA 6 .
ISSN:0092-7872
1532-4125
DOI:10.1080/00927870701545069