Factorization / CONCEPT
Finite and Prime-Power Residuals
Finite residuals lie below prime-power residuals, and A5 makes this strict.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS1
All finite quotients leave a smaller kernel
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Bundled Finite Quotient Residual Hierarchystructural-affinity · Closed
- CRT as a Nilpotent Abelian Victorystructural-affinity · Closed
- Finite Prime-Power Quotient Completenessstructural-affinity · Closed
- Finite Quotient Languages and Their Residual Hierarchystructural-affinity · Closed
- Observer-Type Irreplaceability for A5structural-affinity · Closed
- Prime-Power and Finite-Quotient Separation for A5structural-affinity · Closed
- Triviality of Homomorphisms from A5 to Finite P-Groupsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance