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

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  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