A lower bound on the essential dimension of PGL(4) in characteristic 2
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Baek, Sanghoon | ko |
| dc.date.accessioned | 2017-05-25T06:12:24Z | - |
| dc.date.available | 2017-05-25T06:12:24Z | - |
| dc.date.created | 2017-04-22 | - |
| dc.date.created | 2017-04-22 | - |
| dc.date.issued | 2017-04 | - |
| dc.identifier.citation | JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v.16, no.4 | - |
| dc.identifier.issn | 0219-4988 | - |
| dc.identifier.uri | http://hdl.handle.net/10203/223794 | - |
| dc.description.abstract | In the present paper, we provide a lower bound of the essential dimension over a field of positive characteristic via Kato's cohomology group, defined by cokernel of a general Artin-Schreier operator. Combining this with Tignol's result on the second trace form of simple algebras of degree 4, we show that ed(PGL(4)) >= 4 over a field of characteristic 2. | - |
| dc.language | English | - |
| dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
| dc.subject | QUADRATIC-FORMS | - |
| dc.subject | ALGEBRAS | - |
| dc.subject | FIELDS | - |
| dc.title | A lower bound on the essential dimension of PGL(4) in characteristic 2 | - |
| dc.type | Article | - |
| dc.identifier.wosid | 000399399900002 | - |
| dc.identifier.scopusid | 2-s2.0-84966309524 | - |
| dc.type.rims | ART | - |
| dc.citation.volume | 16 | - |
| dc.citation.issue | 4 | - |
| dc.citation.publicationname | JOURNAL OF ALGEBRA AND ITS APPLICATIONS | - |
| dc.identifier.doi | 10.1142/S0219498817500633 | - |
| dc.contributor.localauthor | Baek, Sanghoon | - |
| dc.description.isOpenAccess | N | - |
| dc.type.journalArticle | Article | - |
| dc.subject.keywordAuthor | Essential dimension | - |
| dc.subject.keywordAuthor | projective leaner group | - |
| dc.subject.keywordAuthor | central simple algebra | - |
| dc.subject.keywordAuthor | trace form | - |
| dc.subject.keywordAuthor | Galois cohomology | - |
| dc.subject.keywordPlus | QUADRATIC-FORMS | - |
| dc.subject.keywordPlus | ALGEBRAS | - |
| dc.subject.keywordPlus | FIELDS | - |
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