Detailed Information on Publication Record
2017
Circular units of real abelian fields with four ramified primes
SEDLÁČEK, VladimírBasic 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
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Czech Republic
Confidentiality degree
není předmětem státního či obchodního tajemství
RIV identification code
RIV/00216224:14310/17:00095073
Organization unit
Faculty of Science
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
International impact, Reviewed
Změněno: 29/3/2018 23:28, Ing. Nicole Zrilić
Abstract
V originále
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 project |
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