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· 1994 · DOI 10.1112/jlms/50.1.49

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3-class field towers with 2 or 3 stages

math.NT · 2026-05-02 · unverdicted · novelty 5.0

For quadratic fields with 3-class group (Z/3Z)^2 and given 3-principalization types, the paper states exact criteria for metabelian 3-class towers of length 2 or 3 and computes minimal discriminants experimentally under GRH for nilpotency classes up to 11.

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  • 3-class field towers with 2 or 3 stages math.NT · 2026-05-02 · unverdicted · none · ref 21

    For quadratic fields with 3-class group (Z/3Z)^2 and given 3-principalization types, the paper states exact criteria for metabelian 3-class towers of length 2 or 3 and computes minimal discriminants experimentally under GRH for nilpotency classes up to 11.