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 $4$-ranks of class groups of quadratic extensions of certain quadratic function fields Commun. Korean Math. Soc. 2012 Vol. 27, No. 2, 223-231 https://doi.org/10.4134/CKMS.2012.27.2.223Published online June 1, 2012 Sunghan Bae and Pyung-Lyun Kang KAIST, Chungnam National University Abstract : We obtain some density results for the 4-ranks of class groups of quadratic extensions of quadratic function fields analogous to those results of F. Gerth in the classical case. Keywords : 4-rank of class group, quadratic function field MSC numbers : 11R58 Downloads: Full-text PDF