MMN-746

Characterization of $V(\mathbb{Z}C^+_n )$ of rank $\le 4$

Abstract

There are only a few cases for cyclic groups $C_n$; where the unit group of their integral group rings are determined. In this article, we have completed the characterization of torsion-free part $U_1(\mathbb{Z}C_n^{+} )$ of the integral group ring of cyclic group $C_n$, for $n=11, 15, 16, 20, 24$ and $30$ where  $\rho\leq 4$. We explicitly find all the generators.


Vol. 15 (2014), No. 2, pp. 571-584
DOI: https://doi.org/10.18514/MMN.2014.746


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