On a certain subideal of the Stickelberger ideal of a cyclotomic field

Radan Kučera

Archivum Mathematicum (1986)

  • Volume: 022, Issue: 1, page 7-19
  • ISSN: 0044-8753

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Kučera, Radan. "On a certain subideal of the Stickelberger ideal of a cyclotomic field." Archivum Mathematicum 022.1 (1986): 7-19. <http://eudml.org/doc/18176>.

@article{Kučera1986,
author = {Kučera, Radan},
journal = {Archivum Mathematicum},
keywords = {basis of Z-module; cyclotomic field; Stickelberger ideal; class number formula; group index},
language = {eng},
number = {1},
pages = {7-19},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On a certain subideal of the Stickelberger ideal of a cyclotomic field},
url = {http://eudml.org/doc/18176},
volume = {022},
year = {1986},
}

TY - JOUR
AU - Kučera, Radan
TI - On a certain subideal of the Stickelberger ideal of a cyclotomic field
JO - Archivum Mathematicum
PY - 1986
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 022
IS - 1
SP - 7
EP - 19
LA - eng
KW - basis of Z-module; cyclotomic field; Stickelberger ideal; class number formula; group index
UR - http://eudml.org/doc/18176
ER -

References

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  1. Z. I. Borevich, I. R. Shafarevich, Number theory, New York 1966. (1966) Zbl0145.04902MR0195803
  2. H. Hasse, Über die Klassenzahl abelscher Zahlkörper, Berlin 1952. (1952) Zbl0046.26003MR0049239
  3. K. Iwasawa, A class number formula for cyclotomic fields, Ann. of Math. 76 (1962), 171-179. (1962) Zbl0125.02003MR0154862
  4. W. Sinnott, On the Stickelberger ideal and the circular units of a cyclotomic field, Ann. of Math. 108 (1978), 107-134. (1978) Zbl0395.12014MR0485778
  5. L. Skula, Another proof of Iwasawa's class number formula, Acta Aritmetica 39 (1981), 1-6. (1981) Zbl0372.12012MR0638737
  6. B. L. van der Waerden, Algebra I, Springer-Verlag, Beгlin-Heidelberg-New York 1971. (1971) Zbl0221.12001
  7. L. C. Washington, Introduction to Cyclotomic Fields, Springer-Veгlag, New York-Heidelbeгg-Berlin 1982. (1982) Zbl0484.12001

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