Factorization / CONCEPT
Positive-Root Lucas-Block Tower
The positive real Lucas-block cube roots generate a degree-three tower over the concrete cubic cyclotomic field in the complex numbers.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES7
PROOF DEPTH13
DOCUMENT LINKS1
The concrete positive-root tower has degree three to the number of blocks
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Canonical-Height Gram of a Cubic Orbittruth-dependency · Closed
- Common Golden Cubic Fields and Their Discriminantstruth-dependency · Closed
- Completions and Conjugation of Golden Cubic Fieldstruth-dependency · Closed
- Coordinate Actions on the Golden Cubic Towertruth-dependency · Closed
- Cubic Inertia and Signaturetruth-dependency · Closed
- Galois Structure and the Absolute Differenttruth-dependency · Closed
- Mordell Cubic Orbit Independencetruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Canonical-Height Gram of a Cubic Orbitstructural-affinity · Closed
- Common Golden Cubic Fields and Their Discriminantsstructural-affinity · Closed
- Completions and Conjugation of Golden Cubic Fieldsstructural-affinity · Closed
- Coordinate Actions on the Golden Cubic Towerstructural-affinity · Closed
- Cubic Inertia and Signaturestructural-affinity · Closed
- Galois Structure and the Absolute Differentstructural-affinity · Closed
- Golden Cubic Block Prime Periodsstructural-affinity · Closed
- Lucas-Block Kummer Tower Degreestructural-affinity · Closed
- Mordell Cubic Orbit Independencestructural-affinity · Closed
- Prime-Power Traces and Dedekind's Differentstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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