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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Special units in real cyclic sextic fields

Author: Marie-Nicole Gras
Journal: Math. Comp. 48 (1987), 179-182
MSC: Primary 11R27; Secondary 11R20
MathSciNet review: 866107
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Abstract: We study the real cyclic sextic fields generated by a root w of ${(X - 1)^6} - ({t^2} + 108){({X^2} + X)^2}$, $t \in {\mathbf {Z}} - \{ 0, \pm 6, \pm 26\}$ . We show that, when ${t^2} + 108$ is square-free (except for powers of 2 and 3), and $t \ne 0$, $\pm 10$, $\pm 54$, then w is a generator of the module of relative units. The details of the proofs are given in [3].

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Article copyright: © Copyright 1987 American Mathematical Society