Luthar, I. S.; Trama, Poonam Zassenhaus conjecture for \(S_ 5\). (English) Zbl 0729.16021 Commun. Algebra 19, No. 8, 2353-2362 (1991). This is a continuation of an article by I. B. S. Passi and the first author [cf. Proc. Indian Acad. Sci., Math. Sci. 99, 1-5 (1989; Zbl 0678.16008)]. Performing very carefully more or less direct computations, the authors succeed in showing that every unit of \(ZS_ 5\) of one of the orders 2, 4, 6 is conjugate, under a unit of \(QS_ 5\), to an element of the symmetric group \(S_ 5\) itself. Reviewer: H.A.Merklen (São Paulo) Cited in 23 Documents MSC: 16U60 Units, groups of units (associative rings and algebras) 16S34 Group rings 20C05 Group rings of finite groups and their modules (group-theoretic aspects) Keywords:Zassenhaus conjecture; unit; symmetric group Citations:Zbl 0678.16008 PDF BibTeX XML Cite \textit{I. S. Luthar} and \textit{P. Trama}, Commun. Algebra 19, No. 8, 2353--2362 (1991; Zbl 0729.16021) Full Text: DOI OpenURL References: [1] James G., Encyclopedia of Mathematics and it’s applications 16 (1981) [2] Ledermann Walter, Introduction to group characters (1977) [3] DOI: 10.1007/BF02874643 · Zbl 0678.16008 [4] Marciniak Z., J.No.Th.25 99 pp 340– (1987) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.