Kummer subfields of tame division algebras over Henselian valued fields
| dc.creator | Mounirh, Karim | |
| dc.date | 2007-06-15 | |
| dc.date.accessioned | 2026-07-07T08:10:28Z | |
| dc.date.available | 2026-07-07T08:10:28Z | |
| dc.description | By generalizing the method used by Tignol and Amitsur in [TA85], we determine necessary and sufficient conditions for an arbitrary tame central division algebra D over a Henselian valued field E to have Kummer subfields [Corollary 2.11 and Corollary 2.12]. We prove also that if D is a tame semiramified division algebra of prime power degree p^n over E such that p\neq char(\bar E) and rk(Γ_D/Γ_E)\geq 3 [resp., such that p\neq char(\bar E) and p^3 divides exp(Γ_D/Γ_E)], then D is non-cyclic [Proposition 3.1] [resp., D is not an elementary abelian crossed product [Proposition 3.2]]. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/0706.2350 | |
| dc.identifier | http://arxiv.org/abs/0706.2350 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131835 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16K50; 16W50; 16W60; 16W70 | |
| dc.title | Kummer subfields of tame division algebras over Henselian valued fields | |
| dc.type | text |