| dc.creator | Dario | |
| dc.creator | R. P.; Engler | |
| dc.creator | A. J. | |
| dc.date | 2015-AUG | |
| dc.date | 2016-06-07T13:34:15Z | |
| dc.date | 2016-06-07T13:34:15Z | |
| dc.date.accessioned | 2018-03-29T01:49:57Z | |
| dc.date.available | 2018-03-29T01:49:57Z | |
| dc.identifier | | |
| dc.identifier | Relative Brauer Group And Pro-p Galois Group Of Pre-p-henselian Fields. World Scientific Publ Co Pte Ltd, v. 14, p. AUG-2015. | |
| dc.identifier | 0219-4988 | |
| dc.identifier | WOS:000353296100009 | |
| dc.identifier | 10.1142/S0219498815500875 | |
| dc.identifier | http://www.worldscientific.com/doi/abs/10.1142/S0219498815500875 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/243880 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1307578 | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | Let p be a prime number and (F, v) a valued field. In this paper, we find a presentation for the p-torsion part of the Brauer group Br(F), by means of the valuation v. We only assume that F has a primitive pth root of the unity and the residue class field has characteristic not equal to p. This result naturally leads to consider valued fields that we call pre-p-henselian fields. It concerns valuations compatible with R-p, the p-radical of the field. To be precise, R-p is the radical of the skew-symmetric pairing which associates to a pair (a, b) the class of the symbol algebra (F; a, b) in Br(F). In our main result, we state that pre-p-henselian fields are precisely the fields for which the Galois group of the maximal Galois p-extension admits a particular decomposition as a free pro-p product. | |
| dc.description | 14 | |
| dc.description | 6 | |
| dc.description | | |
| dc.description | | |
| dc.description | | |
| dc.description | FAPEMAT [568182/2008] | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | CNPq [PDJ 152654/2007-0] | |
| dc.description | | |
| dc.description | | |
| dc.description | | |
| dc.language | en | |
| dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | |
| dc.publisher | | |
| dc.publisher | SINGAPORE | |
| dc.relation | JOURNAL OF ALGEBRA AND ITS APPLICATIONS | |
| dc.rights | fechado | |
| dc.source | WOS | |
| dc.subject | Free-products | |
| dc.title | Relative Brauer Group And Pro-p Galois Group Of Pre-p-henselian Fields | |
| dc.type | Artículos de revistas | |
