A class number formula for elementary-abelian-group rings
β Scribed by Leon R. McCulloh
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 443 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let Β΅ I denote the minimal number of generators of an ideal I of a local ring R M . The Dilworth number d R = max Β΅ I I an ideal of R and Sperner number sp R = max Β΅ M i i β₯ 0 are determined in the case that R = A G , where G = Z/pZ k is an elementary abelian p-group, A zA is a principal local ring
Let R be an atomic integral domain. R is a half-factorial domain (HFD) if whenever x 1 } } } x n = y 1 } } } y m for x 1 , ..., x n , y 1 , ..., y m irreducibles of R, then n=m. A well known result of L. Carlitz (1960, Proc. Amer. Math. Soc. 11, 391 392) states that the ring of integers in a finite
Let K be a real abelian number field satisfying certain conditions and K n the n th layer of the cyclotomic Z p -extension of K. We study the relation between the p-Sylow subgroup of the ideal class group and that of the unit group module the cyclotomic unit group of K n . We give certain sufficient