Factorization / CONCEPT
Inert Eisenstein Quotients and Frobenius
Reduction modulo an inert rational prime identifies the Eisenstein quotient with a quadratic finite field, where Frobenius acts by conjugation.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH1
DOCUMENT LINKS1
An explicit quadratic quotient and its Frobenius action
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Complete Earlier Support and the Cubic Unitstructural-affinity · Closed
- Coupled integral reset unitsstructural-affinity · Closed
- Cubic Characters on Factored Eisenstein Idealsstructural-affinity · Closed
- Ideal Factorization of Odd Eisenstein Factorsstructural-affinity · Closed
- Primary Associates in the Eisenstein Orderstructural-affinity · Closed
- Scalar Quotients of Oriented Eisenstein Factorsstructural-affinity · Closed
- The Discriminant Minus-Three Splitting Criterionstructural-affinity · Closed
- The Eisenstein Reduction for All Integer Powersstructural-affinity · Closed
- The Integral Third-Cyclotomic Model of Eisenstein Integersstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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