# On the exponent of the ideal class groups of imaginary extensions of ${}_{q}\left(x\right)$

Hershy Kisilevsky; Francesco Pappalardi

Acta Arithmetica (1995)

- Volume: 72, Issue: 4, page 311-321
- ISSN: 0065-1036

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topHershy Kisilevsky, and Francesco Pappalardi. "On the exponent of the ideal class groups of imaginary extensions of $_q(x)$." Acta Arithmetica 72.4 (1995): 311-321. <http://eudml.org/doc/206798>.

@article{HershyKisilevsky1995,

author = {Hershy Kisilevsky, Francesco Pappalardi},

journal = {Acta Arithmetica},

keywords = {Chebotarev density theorem; exponent of the ideal class group; function field; imaginary quadratic extension},

language = {eng},

number = {4},

pages = {311-321},

title = {On the exponent of the ideal class groups of imaginary extensions of $_q(x)$},

url = {http://eudml.org/doc/206798},

volume = {72},

year = {1995},

}

TY - JOUR

AU - Hershy Kisilevsky

AU - Francesco Pappalardi

TI - On the exponent of the ideal class groups of imaginary extensions of $_q(x)$

JO - Acta Arithmetica

PY - 1995

VL - 72

IS - 4

SP - 311

EP - 321

LA - eng

KW - Chebotarev density theorem; exponent of the ideal class group; function field; imaginary quadratic extension

UR - http://eudml.org/doc/206798

ER -

## References

top- [1] D. W. Boyd and H. Kisilevsky, On the exponent of the ideal class groups of complex quadratic fields, Proc. Amer. Math. Soc. 31 (1972), 433-436. Zbl0252.12002
- [2] M. D. Fried and M. Jarden, Field Arithmetic, Springer, 1986.
- [3] V. K. Murty and J. Scherk, Effective versions of the Chebotarev density theorem for function fields, C. R. Acad. Sci. Paris Sér. I 319 (1994), 523-528. Zbl0822.11077
- [4] F. Pappalardi, On the exponent of the ideal class group of ℚ(√-d), Proc. Amer. Math. Soc., to appear. Zbl0833.11053

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