# On free product in $V(ZS_3)$

• Shin, Hyunyong (Department of Mathematics, Korea National University of Education) ;
• Lyou, Ikseung (Department of Mathematics, Korea National University) ;
• Dixon, Martrn R. (Department of Mathematics, University)
• Published : 1997.11.01

#### Abstract

The group $V(ZS_3)$ of units of augmentation 1 in the integral group ring $ZS_3$ is characterized as the free product of $C_2$ and $S_3$, where $C_2$ is the cyclic group of order 2.

#### References

1. Proc. AMS v.99 A note on the unit group of $ZS_3$ P. Allen;C. Hobby
2. Cana. Nath. Bull. v.15 The group of units of the integral group ring $ZS_3$ I. Hughes;K.R. Pearson
3. J. Algebra v.69 Units in integral group rings D.S. Passman;P.F. Smith
4. Graduate Texts in Mathematics v.80 D. J. S. Robinson
5. Bull. Amer. Math. Soc. v.66 Matrices of rational integers O. Taussky