Some Remarks on the Divisibility of the Class Numbers of Imaginary Quadratic Fields

Kwang-Seob Kim
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Kwang-Seob Kim: Department of Mathematics, Chosun University, 309 Pilmundaero, Gwangju 61452, Korea

Mathematics, 2022, vol. 10, issue 14, 1-10

Abstract: For a given integer n , we provide some families of imaginary quadratic number fields of the form Q ( 4 q 2 − p n ) , whose ideal class group has a subgroup isomorphic to Z / n Z .

Keywords: class number; imaginary quadratic fields; divisibility of class number (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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