A characterization of torsion units in integral group of ZS3

Sinan Aydın, Abdurrahim Yılmaz


In this study, we give a characterization of all torsion units which are in the unit group of ZS3 integral group ring of symmetric group S3, and classify conjugate classes of these units. We used the group of all doubly stochastic matrices in GL(3,Z) in this classification. The investigation of torsion units is not restricted with this study, and the classification of torsion units of bigger ordered groups is open to examine by using the resulted conciliations of this study.

Tam Metin:



. P.J Allen and Hobby, “ A note on the unit group of ZS3 “. Proc. Math. Soc.99,1 (1987), 9-14.

. I.Huges and K.R.Pearson. “ The group of units of he integral group ring ZS3”. Canad.Math.Bull. 15 (1972), 529-534.

. S.K.Sehgal; Units in integral group rings. Pitman monographs and surveys in pure and applied mathematics, ISSN 0269-3669; 69, (1994).


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