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Fitting ideals of class groups in Carlitz–Hayes cyclotomic extensions.
- Source :
-
Journal of Number Theory . Mar2022, Vol. 232, p261-282. 22p. - Publication Year :
- 2022
-
Abstract
- We generalize some results of Greither and Popescu to a geometric Galois cover X → Y which appears naturally for example in extensions generated by p n -torsion points of a rank 1 normalized Drinfeld module (i.e. in subextensions of Carlitz–Hayes cyclotomic extensions of global fields of positive characteristic). We obtain a description of the Fitting ideal of class groups (or of their dual) via a formula involving Stickelberger elements and providing a link (similar to the one in [1]) with Goss ζ -function. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DRINFELD modules
*CYCLOTOMIC fields
*TORSION theory (Algebra)
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 232
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 153785258
- Full Text :
- https://doi.org/10.1016/j.jnt.2018.12.010