A Leopoldt-Type Result for Rings of Integers of Cyclotomic Extensions
Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 141-148

Voir la notice de l'article provenant de la source Cambridge University Press

Let p be a prime number and let m, r denote positive integers with r ≥ 1 if p > 3 (resp. r ≥ 2 if p = 2) and m ≥ 1. We put and Γ = Gd1(N/M). Then the associated order of N/M is the unique maximal order M in the group ring MΓ and ON is a free, rank one module over M. A generator of ON over M is explicitly given.
DOI : 10.4153/CMB-1995-020-0
Mots-clés : 11R18, 11R33
Bley, W. A Leopoldt-Type Result for Rings of Integers of Cyclotomic Extensions. Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 141-148. doi: 10.4153/CMB-1995-020-0
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