Wild sets and 2-ranks of class groups

P. E. Conner; R. Perlis; K. Szymiczek

Acta Arithmetica (1997)

  • Volume: 79, Issue: 1, page 83-91
  • ISSN: 0065-1036

How to cite

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P. E. Conner, R. Perlis, and K. Szymiczek. "Wild sets and 2-ranks of class groups." Acta Arithmetica 79.1 (1997): 83-91. <http://eudml.org/doc/206968>.

@article{P1997,
author = {P. E. Conner, R. Perlis, K. Szymiczek},
journal = {Acta Arithmetica},
keywords = {Witt equivalence; reciprocity equivalence; Hilbert-symbol equivalence; wild set; ideal class groups; tame kernels},
language = {eng},
number = {1},
pages = {83-91},
title = {Wild sets and 2-ranks of class groups},
url = {http://eudml.org/doc/206968},
volume = {79},
year = {1997},
}

TY - JOUR
AU - P. E. Conner
AU - R. Perlis
AU - K. Szymiczek
TI - Wild sets and 2-ranks of class groups
JO - Acta Arithmetica
PY - 1997
VL - 79
IS - 1
SP - 83
EP - 91
LA - eng
KW - Witt equivalence; reciprocity equivalence; Hilbert-symbol equivalence; wild set; ideal class groups; tame kernels
UR - http://eudml.org/doc/206968
ER -

References

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  1. [Carp] J. P. Carpenter, Finiteness theorems for forms over global fields, Math. Z. 209 (1992), 153-166. Zbl0724.11021
  2. [CoHu] P. E. Conner and J. Hurrelbrink, Class Number Parity, Ser. Pure Math. 8, World Scientific, Singapore, 1988. 
  3. [Czog] A. Czogała, On reciprocity equivalence of quadratic number fields, Acta Arith. 58 (1991), 27-46. Zbl0733.11012
  4. [CzSł] A. Czogała and A. Sładek, Higher degree Hilbert symbol equivalence of number fields, Tatra Mt. Math. Publ. 11, to appear. 
  5. [PSCL] R. Perlis, K. Szymiczek, P. E. Conner and R. Litherland, Matching Witts with global fields, in: Contemp. Math. 155, Amer. Math. Soc., 1994, 365-387. Zbl0807.11024
  6. [Szym] K. Szymiczek, Witt equivalence of global fields, Comm. Algebra 19 (1991), 1125-1149. Zbl0724.11020
  7. [Tate] J. Tate, Relations between K₂ and Galois cohomology, Invent. Math. 36 (1976), 257-274. Zbl0359.12011

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