Engineering↗
Computing the Structure of Residue Rings
The structure of the unit group of a residue ring of the maximal order, and its computation by decomposition and lifting.
Tag
Unit Group
Every page in the KEVOS library tagged Unit Group. 5 pages.
Engineering↗
Structure of the Unit Group Modulo n
The structure of the multiplicative group of integers modulo n, its decomposition by CRT, and computing element orders.
Engineering↗
The Dirichlet Unit Theorem, Computationally
The structure of the unit group, its rank from the signature, and what computing units actually requires.
Engineering↗
The Four Core Computational Tasks of Number Fields
The four fundamental computational problems for a number field, their dependencies, and what counts as a complete answer to each.
Engineering↗
Class Groups, Units and the Regulator
The ideal class group, Dirichlet's unit theorem, the regulator, Minkowski's bound, and the analytic class number formula used to verify computed values.
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