The Ambiguous Class Group and the Genus Group of Certain Non-Normal Extensions

Colin D. Walter

Séminaire de théorie des nombres de Grenoble (1978-1979)

  • Volume: 7, page 1-26

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D. Walter, Colin. "The Ambiguous Class Group and the Genus Group of Certain Non-Normal Extensions." Séminaire de théorie des nombres de Grenoble 7 (1978-1979): 1-26. <http://eudml.org/doc/275156>.

@article{D1978-1979,
author = {D. Walter, Colin},
journal = {Séminaire de théorie des nombres de Grenoble},
language = {eng},
pages = {1-26},
publisher = {Institut des Mathématiques Pures - Université Scientifique et Médicale de Grenoble},
title = {The Ambiguous Class Group and the Genus Group of Certain Non-Normal Extensions},
url = {http://eudml.org/doc/275156},
volume = {7},
year = {1978-1979},
}

TY - JOUR
AU - D. Walter, Colin
TI - The Ambiguous Class Group and the Genus Group of Certain Non-Normal Extensions
JO - Séminaire de théorie des nombres de Grenoble
PY - 1978-1979
PB - Institut des Mathématiques Pures - Université Scientifique et Médicale de Grenoble
VL - 7
SP - 1
EP - 26
LA - eng
UR - http://eudml.org/doc/275156
ER -

References

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  1. 1 P. Barrucand & H. Cohn. "A Rational Genus, Class Number Divisibility, and Unit Theory for Pure Cubic Fields", J. Number Theory, 2 (1970), 7-21 Zbl0192.40001MR249398
  2. P. Barrucand & H. Cohn. "A Rational Genus, Class Number Divisibility, and Unit Theory for Pure Cubic Fields", J. Number Theory, 3 (1971), 226-239. Zbl0218.12002MR276197
  3. 2 I. Connell & D. Sussman. "The p-dimension of class groups of number fields", J. London Math. Soc., (2) 2 (1970), 525-529. Zbl0204.37502MR263776
  4. 3 A. Fröhlich. "On the ℓ -class group of the field P ( m ℓ ) ", J. London Math. Soc., 37 (1962), 189-192. Zbl0109.26702
  5. 4 F. Gerth. "On ℓ -class groups of certain number fields", Mathematika, 23 (1976), 116-123. Zbl0353.12004MR422199
  6. 5 R. Gold. "Genera in Normal Extensions", Pacific J. Math., 63 (1976), 397-400. Zbl0316.12005MR417127
  7. 6 F. Halter-Koch. "Ein Satz über Geschlechter relativ-zyklischer Zahlkörper von Primzahlgrad und seine Anwendung auf biquadratischbizyklische Körper", J. Number Theory, 4 (1972), 144-156. Zbl0241.12004MR302612
  8. 7 H. Hasse. Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper, (Physicia-Verlag, Würzburg/Wien, 1970). MR266893JFM52.0150.19
  9. 8 L. Holzer. "Zur Klassenzahl in reinen Zahlkörpern von ungeraden Primzahlgrade", Acta Math., 83 (1950), 327-348. Zbl0037.02404MR37320
  10. 9 C. Parry & C. Walter. "The class number of pure fields of prime degree", Mathematika, 23 (1976), 220-226 Zbl0364.12005MR435032
  11. C. Parry & C. Walter. "The class number of pure fields of prime degree", Mathematika, 24 (1977), 122. Zbl0364.12006MR466067
  12. 10 C. Walter. "Brauer's class number relation", Acta Arith., 35 (1979), 33-40. Zbl0339.12007MR536878
  13. 11 C. Walter. "A class number relation in Frobenius extensions of number fields", Mathematika, 24 (1977), 216-225. Zbl0358.12004MR472768
  14. 12 U. Wegner. "Zur Theorie der auflosbaren Gleichungen von Primzahlgrad", J.f. reine u. angew. Math., 168 (1932), 176-190. Zbl0005.24305
  15. 13 H. Yokoi. "On the class number of a relatively cyclic number field", Nagoya Math. J., 29 (1967), 31-44. Zbl0166.05803MR207681

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