Split embedding problems over the open arithmetic disc
| dc.contributor.author | Fehm, Arno | |
| dc.contributor.author | Paran, Elad | deu |
| dc.date.accessioned | 2013-06-04T10:20:19Z | deu |
| dc.date.available | 2013-06-04T10:20:19Z | deu |
| dc.date.issued | 2012 | deu |
| dc.description.abstract | Let Z{t} be the ring of arithmetic power series that converge on the complex open unit disc. A classical result of Harbater asserts that every finite group occurs as a Galois group over the quotient field of Z{t}. We strengthen this by showing that every finite split embedding problem over Q acquires a solution over this field. More generally, we solve all t-unramified finite split embedding problems over the quotient field of O{t}, where O is the ring of integers of an arbitrary number field K. | eng |
| dc.description.version | published | |
| dc.identifier.arxiv | 1208.1044 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/23510 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2013-06-04 | deu |
| dc.rights | terms-of-use | deu |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | deu |
| dc.subject.ddc | 510 | deu |
| dc.title | Split embedding problems over the open arithmetic disc | eng |
| dc.type | PREPRINT | deu |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @unpublished{Fehm2012Split-23510,
year={2012},
title={Split embedding problems over the open arithmetic disc},
author={Fehm, Arno and Paran, Elad}
} | |
| kops.citation.iso690 | FEHM, Arno, Elad PARAN, 2012. Split embedding problems over the open arithmetic disc | deu |
| kops.citation.iso690 | FEHM, Arno, Elad PARAN, 2012. Split embedding problems over the open arithmetic disc | eng |
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| kops.identifier.nbn | urn:nbn:de:bsz:352-235105 | deu |
| kops.submitter.email | madeline.kreissner@uni-konstanz.de | deu |
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