The class number one problem for the non-normal sextic CM-fields. Part 2

Gérard Boutteaux; Stéphane Louboutin

Acta Mathematica et Informatica Universitatis Ostraviensis (2002)

  • Volume: 10, Issue: 1, page 3-23
  • ISSN: 1804-1388

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Boutteaux, Gérard, and Louboutin, Stéphane. "The class number one problem for the non-normal sextic CM-fields. Part 2." Acta Mathematica et Informatica Universitatis Ostraviensis 10.1 (2002): 3-23. <http://eudml.org/doc/23852>.

@article{Boutteaux2002,
author = {Boutteaux, Gérard, Louboutin, Stéphane},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {CM-fields; class number 1 problem; class number formula},
language = {eng},
number = {1},
pages = {3-23},
publisher = {University of Ostrava},
title = {The class number one problem for the non-normal sextic CM-fields. Part 2},
url = {http://eudml.org/doc/23852},
volume = {10},
year = {2002},
}

TY - JOUR
AU - Boutteaux, Gérard
AU - Louboutin, Stéphane
TI - The class number one problem for the non-normal sextic CM-fields. Part 2
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 2002
PB - University of Ostrava
VL - 10
IS - 1
SP - 3
EP - 23
LA - eng
KW - CM-fields; class number 1 problem; class number formula
UR - http://eudml.org/doc/23852
ER -

References

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  2. G. Boutteaux., Détermination des corps à multiplication complexe, sextiques, non galoisiens et principaux, PҺD Thesis, in preparation. 
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  5. S. Louboutin, R. Okazaki., Determination of all non-normal quartic CM-fieids and of all non-abelian normal octic CM-fields with class number one, Acta Arith. 67 (1994), 47-62. (1994) MR1292520
  6. S. Louboutin R. Okazaki, M. Olivier., 10.1090/S0002-9947-97-01768-6, Trans. Amer. Math. Soc. 349 (1997), 3657-3678. (1997) MR1390044DOI10.1090/S0002-9947-97-01768-6
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  10. S. Louboutin., 10.1090/S0025-5718-97-00863-6, Math. Comp. 66 (1997), 173-184. (1997) Zbl0879.11064MR1422790DOI10.1090/S0025-5718-97-00863-6
  11. S. Louboutin., 10.4153/CJM-1998-042-2, Canad. J. Math. 50 (1999), 794-815. (1999) Zbl1209.65156MR1638619DOI10.4153/CJM-1998-042-2
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  14. S. Louboutin Y.-S. Yang, S.-H. Kwon., The non-normal quartic CM-fields and the dihedral octic CM-fields with ideal class groups of exponent ≤ 2 , Preprint (2000). 
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