Galois Groups Over Nonrigid Fields
| dc.creator | Gao, Wenfeng | |
| dc.creator | Leep, David B. | |
| dc.creator | Minac, Jan | |
| dc.creator | Smith, Tara L. | |
| dc.date | 2000-10-20 | |
| dc.date.accessioned | 2026-07-07T04:38:09Z | |
| dc.date.available | 2026-07-07T04:38:09Z | |
| dc.description | Let $F$ be a field with characteristic $\neq 2$. We show that $F$ is a nonrigid field if and only if certain small 2-groups occur as Galois groups over $F$. These results provide new "automatic realizability" results for Galois groups over $F$. The groups we consider demonstrate the inequality of two particular metabelian 2-extensions of $F$ which are unequal precisely when $F$ is a nonrigid field. Using known results on connections between rigidity and existence of certain valuations, we obtain Galois-theoretic criteria for the existence of these valuations. | |
| dc.identifier | https://arxiv.org/abs/math/0010201 | |
| dc.identifier | http://arxiv.org/abs/math/0010201 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60170 | |
| dc.subject | Number Theory | |
| dc.subject | Rings and Algebras | |
| dc.title | Galois Groups Over Nonrigid Fields | |
| dc.type | text |