ZASSENHAUS CONJECTURE FOR INTEGRAL GROUP RING OF SIMPLE LINEAR GROUPS
نویسندگان
چکیده
منابع مشابه
On the first Zassenhaus conjecture for integral group rings
It was conjectured by H. Zassenhaus that a torsion unit of an integral group ring of a finite group is conjugate to a group element within the rational group algebra. The object of this note is the computational aspect of a method developed by I. S. Luthar and I. B. S. Passi which sometimes permits an answer to this conjecture. We illustrate the method on certain explicit examples. We prove wit...
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Zassenhaus Conjecture for torsion units states that every augmentation one torsion unit of the integral group ring of a finite group G is conjugate to an element of G in the units of the rational group algebra QG. This conjecture has been proved for nilpotent groups, metacyclic groups and some other families of groups. It has been also proved for some special groups. We prove the conjecture for...
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2013
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498813500163