Publication details

Circular units of real abelian fields with four ramified primes

Authors

SEDLÁČEK Vladimír

Year of publication 2017
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.5817/AM2017-4-221
Field General mathematics
Keywords Circular units; abelian fields; four ramified primes; Ennola relations
Description 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).
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