Factorization / CONCEPT
Common Golden Cubic Fields and Their Discriminants
The common fields generated by positive cube roots of golden blocks have explicit discriminants and Galois action.
Closed
DIRECT PREREQUISITES6
DIRECT CONSEQUENCES1
PROOF DEPTH17
DOCUMENT LINKS1
Signatures, discriminants and the inversion action
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Galois Structure and the Absolute Differenttruth-dependency · Closed
- Golden Cubic Block Congruencestruth-dependency · Closed
- Golden Cubic Block Native Power Periodstruth-dependency · Closed
- Lucas-Block Kummer Tower Degreetruth-dependency · Closed
- Positive-Root Lucas-Block Towertruth-dependency · Closed
- Prime-Power Traces and Dedekind's Differenttruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Complete Earlier Support and the Cubic Unitstructural-affinity · Closed
- Complete Golden Cubic Cyclotomic Intersectionstructural-affinity · Closed
- Completions and Conjugation of Golden Cubic Fieldsstructural-affinity · Closed
- Coprime Conjugate Factors of Cubic Lucas Blocksstructural-affinity · Closed
- Cubic Inertia and Signaturestructural-affinity · Closed
- Cubic Radical Towers from Base-Field Testsstructural-affinity · Closed
- Galois Structure and the Absolute Differentstructural-affinity · Closed
- Golden Cubic Block Congruencesstructural-affinity · Closed
- Golden Cubic Block Native Power Periodsstructural-affinity · Closed
- Lucas-Block Kummer Tower Degreestructural-affinity · Closed
- Positive-Root Lucas-Block Towerstructural-affinity · Closed
- Primary Factorization of a Cubic Lucas Blockstructural-affinity · Closed
- Prime-Power Traces and Dedekind's Differentstructural-affinity · Closed
- The Discriminant Minus-Three Splitting Criterionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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