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- W1970386543 abstract "Let F be a finite field and T a transcendental element over F . In this paper, we construct, for integers m and n relatively prime to the characteristic of F ( T ) , infinitely many imaginary function fields K of degree m over F ( T ) whose class groups contain subgroups isomorphic to ( Z / n Z ) m . This increases the previous rank of m − 1 found by the authors in [Y. Lee, A. Pacelli, Class groups of imaginary function fields: The inert case, Proc. Amer. Math. Soc. 133 (2005) 2883–2889]." @default.
- W1970386543 created "2016-06-24" @default.
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- W1970386543 date "2006-09-01" @default.
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- W1970386543 title "Higher rank subgroups in the class groups of imaginary function fields" @default.
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- W1970386543 doi "https://doi.org/10.1016/j.jpaa.2005.09.001" @default.
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