Detailed Information on Publication Record
2016
Circular units of an abelian field ramified at three primes
KUČERA, Radan and Azar SALAMIBasic information
Original name
Circular units of an abelian field ramified at three primes
Authors
KUČERA, Radan (203 Czech Republic, guarantor, belonging to the institution) and Azar SALAMI (124 Canada)
Edition
Journal of Number Theory, Elsevier, 2016, 0022-314X
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
Impact factor
Impact factor: 0.747
RIV identification code
RIV/00216224:14310/16:00087783
Organization unit
Faculty of Science
UT WoS
000371002100016
Keywords in English
Abelian field; circular (cyclotomic) units; Ennola relation.
Tags
International impact, Reviewed
Změněno: 30/3/2017 15:02, Ing. Andrea Mikešková
Abstract
V originále
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.
Links
| GAP201/11/0276, research and development project |
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| GA15-15785S, research and development project |
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