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@article{1331519,
author = {Kučera, Radan and Salami, Azar},
article_number = {June},
doi = {http://dx.doi.org/10.1016/j.jnt.2015.11.023},
keywords = {Abelian field; circular (cyclotomic) units; Ennola relation.},
language = {eng},
issn = {0022-314X},
journal = {Journal of Number Theory},
title = {Circular units of an abelian field ramified at three primes},
volume = {163},
year = {2016}
}
TY - JOUR
ID - 1331519
AU - Kučera, Radan - Salami, Azar
PY - 2016
TI - Circular units of an abelian field ramified at three primes
JF - Journal of Number Theory
VL - 163
IS - June
SP - 296-315
EP - 296-315
PB - Elsevier
SN - 0022314X
KW - Abelian field
KW - circular (cyclotomic) units
KW - Ennola relation.
N2 - This paper constructs a basis and gives a presentation of Sinnott's group of circular units for a real abelian field k ramified at three primes whose genus field K in the narrow sense has cyclic relative Galois group Gal(K/k). It is shown that, for this type of fields, the quotient of the module of all relations satisfied by circular units by the submodule generated by all norm relations is a cyclic module generated by an Ennola relation.
ER -
KUČERA, Radan and Azar SALAMI. Circular units of an abelian field ramified at three primes. \textit{Journal of Number Theory}. Elsevier, 2016, vol.~163, June, p.~296-315. ISSN~0022-314X. Available from: https://dx.doi.org/10.1016/j.jnt.2015.11.023.
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