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
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.
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
@article{10_4153_CMB_1995_020_0,
author = {Bley, W.},
title = {A {Leopoldt-Type} {Result} for {Rings} of {Integers} of {Cyclotomic} {Extensions}},
journal = {Canadian mathematical bulletin},
pages = {141--148},
year = {1995},
volume = {38},
number = {2},
doi = {10.4153/CMB-1995-020-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-020-0/}
}
TY - JOUR AU - Bley, W. TI - A Leopoldt-Type Result for Rings of Integers of Cyclotomic Extensions JO - Canadian mathematical bulletin PY - 1995 SP - 141 EP - 148 VL - 38 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-020-0/ DO - 10.4153/CMB-1995-020-0 ID - 10_4153_CMB_1995_020_0 ER -
Cité par Sources :