Circular units of function fields
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- by Frederick F. Harrop PDF
- Trans. Amer. Math. Soc. 341 (1994), 405-421 Request permission
Abstract:
A unit index-class number formula is proved for subfields of cyclotomic function fields in analogy with similar results for subfields of cyclotomic number fields.References
- Steven Galovich and Michael Rosen, Units and class groups in cyclotomic function fields, J. Number Theory 14 (1982), no. 2, 156–184. MR 655724, DOI 10.1016/0022-314X(82)90045-2
- W. Sinnott, On the Stickelberger ideal and the circular units of a cyclotomic field, Ann. of Math. (2) 108 (1978), no. 1, 107–134. MR 485778, DOI 10.2307/1970932
- W. Sinnott, On the Stickelberger ideal and the circular units of an abelian field, Invent. Math. 62 (1980/81), no. 2, 181–234. MR 595586, DOI 10.1007/BF01389158
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 341 (1994), 405-421
- MSC: Primary 11R18; Secondary 11R20
- DOI: https://doi.org/10.1090/S0002-9947-1994-1140916-6
- MathSciNet review: 1140916