SEDLÁČEK, Vladimír. Circular units of real abelian fields with four ramified primes. Archivum Mathematicum. Brno: Masaryk University, vol. 53, No 4, p. 221-252. ISSN 1212-5059. doi:10.5817/AM2017-4-221. 2017.
Other formats:   BibTeX LaTeX RIS
Basic information
Original name Circular units of real abelian fields with four ramified primes
Name in Czech Kruhové jednotky reálných abelovských těles se čtyřmi rozvětvenými prvočísly
Authors SEDLÁČEK, Vladimír (203 Czech Republic, guarantor, belonging to the institution).
Edition Archivum Mathematicum, Brno, Masaryk University, 2017, 1212-5059.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
RIV identification code RIV/00216224:14310/17:00095073
Organization unit Faculty of Science
Doi http://dx.doi.org/10.5817/AM2017-4-221
UT WoS 000419967000003
Keywords (in Czech) Kruhové jednotky; abelovská tělesa; čtyři rozvětvená prvočísla; Ennolovy relace
Keywords in English Circular units; abelian fields; four ramified primes; Ennola relations
Tags NZ, rivok
Tags International impact, Reviewed
Changed by Changed by: Ing. Nicole Zrilić, učo 240776. Changed: 29/3/2018 23:28.
Abstract
In this paper we study the groups of circular numbers and circular units in Sinnott's sense in real abelian fields with exactly four ramified primes under certain conditions. More specifically, we construct their Z-bases in five special infinite families of cases. We also derive some results about the corresponding module of relations (in one family of cases, we show that the module of Ennola relations is cyclic).
Links
GA15-15785S, research and development projectName: Grupy tříd ideálů abelovských číselných těles
Investor: Czech Science Foundation
PrintDisplayed: 23/4/2024 07:28