{ "id": "1802.07919", "version": "v1", "published": "2018-02-22T07:19:32.000Z", "updated": "2018-02-22T07:19:32.000Z", "title": "Class groups of imaginary quadratic fields of $3$-rank at least $2$", "authors": [ "Kalyan Chakraborty", "Azizul Hoque" ], "comment": "5 Pages", "categories": [ "math.NT" ], "abstract": "We produce an infinite family of imaginary quadratic fields whose ideal class groups have $3$-rank at least $2$.", "revisions": [ { "version": "v1", "updated": "2018-02-22T07:19:32.000Z" } ], "analyses": { "subjects": [ "11R29", "11R11" ], "keywords": [ "imaginary quadratic fields", "ideal class groups" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }