Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이윤진 | * |
dc.date.accessioned | 2016-08-28T11:08:13Z | - |
dc.date.available | 2016-08-28T11:08:13Z | - |
dc.date.issued | 2009 | * |
dc.identifier.issn | 0002-9939 | * |
dc.identifier.other | OAK-13392 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/229395 | - |
dc.description.abstract | For certain two cases of splitting behaviors of the prime at infinity with unit rank r, given positive integers m,n, we construct infinitely many global function fields K such that the ideal class group of K of degree m over F(T) has n-rank at least m - r - 1 and the prime at infinity splits in K as given, where F denotes a finite field and T a transcendental element over F. In detail, for positive integers m, n and r with 0 ≤ r ≤ m - 1 and a given signature (ei,fi), 1 ≤ i ≤ r + 1, such that Σr+1i=1 eifi = m, in the following two cases where ei is arbitrary and fi = 1 for each i, or ei = 1 and fi's are the same for each i, we construct infinitely many global function fields K of degree m over F(T) such that the ideal class group of K contains a subgroup isomorphic to (ℤ/nℤ) m-r-1and the prime at infinity p;∞ splits into r + 1 primes β 1, β2, • • •, P r+1 in K with e(βi/p;∞) = e i and f(βi/p;infin;) = fi for 1 ≤ i ≤ r + 1 (so, K is of unit rank r). © 2008 American Mathematical Society. | * |
dc.language | English | * |
dc.title | Class groups of global function fields with certain splitting behaviors of the infinite prime | * |
dc.type | Article | * |
dc.relation.issue | 2 | * |
dc.relation.volume | 137 | * |
dc.relation.index | SCI | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 415 | * |
dc.relation.lastpage | 424 | * |
dc.relation.journaltitle | Proceedings of the American Mathematical Society | * |
dc.identifier.doi | 10.1090/S0002-9939-08-09581-6 | * |
dc.identifier.wosid | WOS:000260367600003 | * |
dc.identifier.scopusid | 2-s2.0-77950526243 | * |
dc.author.google | Lee Y. | * |
dc.contributor.scopusid | 이윤진(23100337700) | * |
dc.date.modifydate | 20240123113558 | * |