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# Special Units in Real Cyclic Sextic Fields

Marie-Nicole Gras
Mathematics of Computation
Vol. 48, No. 177 (Jan., 1987), pp. 179-182
DOI: 10.2307/2007882
Stable URL: http://www.jstor.org/stable/2007882
Page Count: 4
We study the real cyclic sextic fields generated by a root $w$ of $(X - 1)^6 - (t^2 + 108)(X^2 + X)^2, t \in \mathbf Z - \{0, \pm6, \pm26\}$. We show that, when $t^2 + 108$ is square-free (except for powers of 2 and 3), and $t \neq 0, \pm10, \pm54$, then $w$ is a generator of the module of relative units. The details of the proofs are given in [3].