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Exponents of class groups of real quadratic function fields
Author(s):
Kalyan
Chakraborty;
Anirban
Mukhopadhyay
Journal:
Proc. Amer. Math. Soc.
132
(2004),
1951-1955.
MSC (2000):
Primary 11R58;
Secondary 11R29
Posted:
February 18, 2004
MathSciNet review:
2053965
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Abstract:
We show that there are  polynomials ![$D\in\mathbb{F} _q[t]$](/proc/2004-132-07/S0002-9939-04-07269-7/gif-abstract0/img2.gif) with  such that the ideal class group of the real quadratic extensions  has an element of order  .
References:
-
- 1.
- David A. Cardon and M. Ram Murty, Exponents of class groups of quadratic function fields over finite fields, Canadian Math. Bulletin 44 (2001), no. 4, 398-407. MR 2002g:11164
- 2.
- Christian Friesen, Class number divisibility in real quadratic function fields, Canadian Math. Bulletin 35 (1992), no. 3, 361-370. MR 93h:11130
- 3.
- Christian Friesen and Paul van Wamelen, Class numbers of real quadratic function fields, Acta Arith. 81 (1997), no. 1, 45-55. MR 98d:11141
- 4.
- M. Ram Murty, Exponents of class groups of quadratic fields, Topics in Number Theory (University Park, PA, 1997), Math. Appl. 467, Kluwer Acad. Publ., Dordrecht, 1999, 229-239. MR 2000b:11123
- 5.
- Michael Rosen, Number Theory in Function Fields, Graduate Texts in Mathematics 210, Springer-Verlag, Berlin, 2002. MR 2003d:11171
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Additional Information:
Kalyan
Chakraborty
Affiliation:
Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211 019, India
Email:
kalyan@mri.ernet.in
Anirban
Mukhopadhyay
Affiliation:
Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211 019, India
Address at time of publication:
The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India
Email:
anirban@mri.ernet.in, anirban@imsc.res.in
DOI:
10.1090/S0002-9939-04-07269-7
PII:
S 0002-9939(04)07269-7
Keywords:
Class group,
real quadratic fields
Received by editor(s):
September 4, 2002
Received by editor(s) in revised form:
April 21, 2003
Posted:
February 18, 2004
Communicated by:
Wen-Ching Winnie Li
Copyright of article:
Copyright
2004,
American Mathematical Society
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