Annihilators of the class group of a compositum of quadratic fields
Archivum Mathematicum (2013)
- Volume: 049, Issue: 4, page 209-222
- ISSN: 0044-8753
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topHerman, Jan. "Annihilators of the class group of a compositum of quadratic fields." Archivum Mathematicum 049.4 (2013): 209-222. <http://eudml.org/doc/260771>.
@article{Herman2013,
abstract = {This paper is devoted to a construction of new annihilators of the ideal class group of a tamely ramified compositum of quadratic fields. These annihilators are produced by a modified Rubin’s machinery. The aim of this modification is to give a stronger annihilation statement for this specific type of fields.},
author = {Herman, Jan},
journal = {Archivum Mathematicum},
keywords = {annihilators; class group; circular (cyclotomic) units; compositum of quadratic fields; annihilators; class group; circular (cyclotomic) units; compositum of quadratic fields},
language = {eng},
number = {4},
pages = {209-222},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Annihilators of the class group of a compositum of quadratic fields},
url = {http://eudml.org/doc/260771},
volume = {049},
year = {2013},
}
TY - JOUR
AU - Herman, Jan
TI - Annihilators of the class group of a compositum of quadratic fields
JO - Archivum Mathematicum
PY - 2013
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 049
IS - 4
SP - 209
EP - 222
AB - This paper is devoted to a construction of new annihilators of the ideal class group of a tamely ramified compositum of quadratic fields. These annihilators are produced by a modified Rubin’s machinery. The aim of this modification is to give a stronger annihilation statement for this specific type of fields.
LA - eng
KW - annihilators; class group; circular (cyclotomic) units; compositum of quadratic fields; annihilators; class group; circular (cyclotomic) units; compositum of quadratic fields
UR - http://eudml.org/doc/260771
ER -
References
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- Kučera, R., 10.7169/facm/1229696569, Funct. Approx. Comment. Math. 39 (2008), 179–189. (2008) Zbl1225.11141MR2490724DOI10.7169/facm/1229696569
- Lambek, J., Lectures on rings and modules, 3rd ed., Chelsea Publishing Co., New York, 1988. (1988)
- Rubin, K., 10.1007/BF01388983, Invent. Math. 89 (1987), 511–526. (1987) Zbl0628.12007DOI10.1007/BF01388983
- Sinnott, W., 10.1007/BF01389158, Invent. Math. 62 (1980), 181–234. (1980) Zbl0465.12001DOI10.1007/BF01389158
- Thaine, F., On the ideal class groups of real abelian number fields, Ann. of Math. (2) 128 (1988), 1–18. (1988) Zbl0665.12003
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