# 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

## Access Full Article

top## How to cite

topP. 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

top- [Carp] J. P. Carpenter, Finiteness theorems for forms over global fields, Math. Z. 209 (1992), 153-166. Zbl0724.11021
- [CoHu] P. E. Conner and J. Hurrelbrink, Class Number Parity, Ser. Pure Math. 8, World Scientific, Singapore, 1988.
- [Czog] A. Czogała, On reciprocity equivalence of quadratic number fields, Acta Arith. 58 (1991), 27-46. Zbl0733.11012
- [CzSł] A. Czogała and A. Sładek, Higher degree Hilbert symbol equivalence of number fields, Tatra Mt. Math. Publ. 11, to appear.
- [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
- [Szym] K. Szymiczek, Witt equivalence of global fields, Comm. Algebra 19 (1991), 1125-1149. Zbl0724.11020
- [Tate] J. Tate, Relations between K₂ and Galois cohomology, Invent. Math. 36 (1976), 257-274. Zbl0359.12011

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.