Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

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
  • Read Online (Free)
  • Download ($34.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Special Units in Real Cyclic Sextic Fields
Preview not available

Abstract

We study the real cyclic sextic fields generated by a root $w$ of $(X - 1)^6 - (t^2 + 108)(X^2 + X)^2, t \in \mathbf Z - \{0, \pm6, \pm26\}$. 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].

Page Thumbnails

  • Thumbnail: Page 
179
    179
  • Thumbnail: Page 
180
    180
  • Thumbnail: Page 
181
    181
  • Thumbnail: Page 
182
    182