Galois embedding problems with cyclic quotient of order p
| dc.creator | Minac, Jan | |
| dc.creator | Swallow, John | |
| dc.date | 2003-09-05 | |
| dc.date | 2004-04-08 | |
| dc.date.accessioned | 2026-07-07T05:00:53Z | |
| dc.date.available | 2026-07-07T05:00:53Z | |
| dc.description | Let K/F be a cyclic field extension of odd prime degree. We consider Galois embedding problems involving Galois groups with common quotient Gal(K/F) such that corresponding normal subgroups are indecomposable Fp[Gal(K/F)]-modules. For these embedding problems we prove conditions on solvability, formulas for explicit construction, and results on automatic realizability. | |
| dc.description | v2 (22 pages): results extended to arbitrary fields; in particular, we establish a new automatic realization in Galois theory | |
| dc.identifier | https://arxiv.org/abs/math/0309090 | |
| dc.identifier | http://arxiv.org/abs/math/0309090 | |
| dc.identifier | Israel J. Math. 145 (2005), 93--112 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68481 | |
| dc.subject | Number Theory | |
| dc.subject | 12F10 | |
| dc.title | Galois embedding problems with cyclic quotient of order p | |
| dc.type | text |