Explicit Constructions of the non-Abelian $p^3$-Extensions Over $\QQ$
| dc.creator | Ben-Shimol, Oz | |
| dc.date | 2008-06-13 | |
| dc.date | 2008-09-23 | |
| dc.date.accessioned | 2026-07-07T10:04:13Z | |
| dc.date.available | 2026-07-07T10:04:13Z | |
| dc.description | Let $p$ be an odd prime. Let $F/k$ be a cyclic extension of degree $p$ and of characteristic different from $p$. The explicit constructions of the non-abelian $p^{3}$-extensions over $k$, are induced by certain elements in ${F(μ_{p})}^{*}$. In this paper we let $k=\QQ$ and present sufficient conditions for these elements to be suitable for the constructions. Polynomials for the non-abelian groups of order 27 over $\QQ$ are constructed. | |
| dc.description | 10 pages. Keywords: Constructive Galois Theory; Heisenberg group, Explicit Embedding problem. Corrections: we revised the proof of Theorem 3.1 | |
| dc.identifier | https://arxiv.org/abs/0806.2202 | |
| dc.identifier | http://arxiv.org/abs/0806.2202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169588 | |
| dc.subject | Number Theory | |
| dc.subject | 12F12; 11R18 | |
| dc.title | Explicit Constructions of the non-Abelian $p^3$-Extensions Over $\QQ$ | |
| dc.type | text |