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Unit Group

5 resources tagged “Unit Group” across the knowledge library.

5 items

Article7 Aug 2026Computing the Structure of Residue RingsThe structure of the unit group of a residue ring of the maximal order, and its computation by decomposition and lifting.2 min readRead More Article7 Aug 2026Structure of the Unit Group Modulo nThe structure of the multiplicative group of integers modulo n, its decomposition by CRT, and computing element orders.2 min readRead More Article7 Aug 2026The Dirichlet Unit Theorem, ComputationallyThe structure of the unit group, its rank from the signature, and what computing units actually requires.2 min readRead More Article7 Aug 2026The Four Core Computational Tasks of Number FieldsThe four fundamental computational problems for a number field, their dependencies, and what counts as a complete answer to each.4 min readRead More Guide6 Aug 2026Class Groups, Units and the RegulatorThe ideal class group, Dirichlet's unit theorem, the regulator, Minkowski's bound, and the analytic class number formula used to verify computed values.4 min readRead More