Establishes group presentations for quotients of G_∅^T(K) in Γ-extensions and derives a random model predicting the distribution of these Galois groups over arbitrary global base fields Q.
and Hajir, Farshid , year =
2 Pith papers cite this work. Polarity classification is still indexing.
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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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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Presentations of Galois groups of unramified extensions of global fields and its predicted distribution
Establishes group presentations for quotients of G_∅^T(K) in Γ-extensions and derives a random model predicting the distribution of these Galois groups over arbitrary global base fields Q.
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3-class field towers with 2 or 3 stages
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.