Factorization / CONCEPT
Complete Earlier Support and the Cubic Unit
The primary and conjugate factors of earlier golden cubic blocks, together with two and three, generate a full-degree Galois cubic radical field in which the cubic root of unity remains noncube.
Closed
DIRECT PREREQUISITES7
DIRECT CONSEQUENCES1
PROOF DEPTH18
DOCUMENT LINKS1
Full Galois degree, cubic coordinates and unit obstruction
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Common Golden Cubic Fields and Their Discriminantstruth-dependency · Closed
- Cubic Radical Towers from Base-Field Teststruth-dependency · Closed
- Golden Cubic Block Native Power Periodstruth-dependency · Closed
- Inert Eisenstein Quotients and Frobeniustruth-dependency · Closed
- Lucas-Block Kummer Tower Degreetruth-dependency · Closed
- Primary Factorization of a Cubic Lucas Blocktruth-dependency · Closed
- The Integral Third-Cyclotomic Model of Eisenstein Integerstruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Common Golden Cubic Fields and Their Discriminantsstructural-affinity · Closed
- Complete Golden Cubic Cyclotomic Intersectionstructural-affinity · Closed
- Cubic Radical Towers from Base-Field Testsstructural-affinity · Closed
- Golden Cubic Block Native Power Periodsstructural-affinity · Closed
- Golden Cubic Compatibility Compositumstructural-affinity · Closed
- Golden Cubic Compatibility Conjugacystructural-affinity · Closed
- Golden Cubic Compatibility Densitystructural-affinity · Closed
- Golden Cubic Prime Transferstructural-affinity · Closed
- Inert Eisenstein Quotients and Frobeniusstructural-affinity · Closed
- Lucas-Block Kummer Tower Degreestructural-affinity · Closed
- Primary Associates in the Eisenstein Orderstructural-affinity · Closed
- Primary Factorization of a Cubic Lucas Blockstructural-affinity · Closed
- The Discriminant Minus-Three Splitting Criterionstructural-affinity · Closed
- The Integral Third-Cyclotomic Model of Eisenstein Integersstructural-affinity · Closed
- The two-prime cubic Thue descentstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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