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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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