On Washington group of circular units of some composita of quadratic fields

Michal Bulant

Mathematica Slovaca (2005)

  • Volume: 55, Issue: 1, page 39-46
  • ISSN: 0139-9918

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Bulant, Michal. "On Washington group of circular units of some composita of quadratic fields." Mathematica Slovaca 55.1 (2005): 39-46. <http://eudml.org/doc/32423>.

@article{Bulant2005,
author = {Bulant, Michal},
journal = {Mathematica Slovaca},
keywords = {circular units; abelian field; class number},
language = {eng},
number = {1},
pages = {39-46},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On Washington group of circular units of some composita of quadratic fields},
url = {http://eudml.org/doc/32423},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Bulant, Michal
TI - On Washington group of circular units of some composita of quadratic fields
JO - Mathematica Slovaca
PY - 2005
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 55
IS - 1
SP - 39
EP - 46
LA - eng
KW - circular units; abelian field; class number
UR - http://eudml.org/doc/32423
ER -

References

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  1. GOLD R.-KIM J., Bases for cyclotomic units, Compositio Math. 71 (1989), 13-27. (1989) Zbl0687.12003MR1008802
  2. KUČERA R., On bases of the Stickelberger ideal and of the group of circular units of a cyclotomic field, J. Number Theory 40 (1992), 284-316. (1992) Zbl0744.11052MR1154041
  3. KUČERA R., On the Stickelberger ideal and circular units of a compositum of quadratic fields, J. Number Theory 56 (1996), 139-166. (1996) Zbl0840.11044MR1370199
  4. KUČERA R., Circular units and class groups of abehan fields, In: Comptes Rendus de la conference internationale Maroc-Quebec (Mai 2003) "Theorie des nombres et applications'', 2004, pp. 130-143. MR2183100
  5. SINNOTT W., On the Stickelberger ideal and the circular units of a cyclotomic field, Ann. of Math. (2) 108 (1978), 107-134. (1978) Zbl0395.12014MR0485778
  6. SINNOTT W., On the Stickelberger ideal and the circular units of an abelian field, Invent. Math. 62 (1980), 181-234. (1980) Zbl0465.12001MR0595586
  7. WASHINGTON L. C., Introduction to Cyclotomic Fields, (2nd ed.) Grad. Texts in Math. 83, Springer, New York, NY, 1997. (1997) Zbl0966.11047MR1421575

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