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@article{1392787, author = {Sedláček, Vladimír}, article_location = {Brno}, article_number = {4}, doi = {http://dx.doi.org/10.5817/AM2017-4-221}, keywords = {Circular units; abelian fields; four ramified primes; Ennola relations}, language = {eng}, issn = {1212-5059}, journal = {Archivum Mathematicum}, title = {Circular units of real abelian fields with four ramified primes}, volume = {53}, year = {2017} }
TY - JOUR ID - 1392787 AU - Sedláček, Vladimír PY - 2017 TI - Circular units of real abelian fields with four ramified primes JF - Archivum Mathematicum VL - 53 IS - 4 SP - 221-252 EP - 221-252 PB - Masaryk University SN - 12125059 KW - Circular units KW - abelian fields KW - four ramified primes KW - Ennola relations N2 - 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). ER -
SEDLÁČEK, Vladimír. Circular units of real abelian fields with four ramified primes. \textit{Archivum Mathematicum}. Brno: Masaryk University, 2017, roč.~53, č.~4, s.~221-252. ISSN~1212-5059. Dostupné z: https://dx.doi.org/10.5817/AM2017-4-221.
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