FiniteGroups / CONCEPT
A late strict return gap at the first odd wrap
A finite binomial recurrence gives a sufficient cone for a strict gap between the actual odd-wrap return counts.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH11
DOCUMENT LINKS0
The (1,9) quotient has fewer returns when 6t exceeds 9p+1
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
- A sharper positive cone for the original odd-wrap quotientsstructural-affinity · Closed
- A strict finite Gaussian envelope for the original quotient returnsstructural-affinity · Closed
- A uniform early return gap at the first odd wrapstructural-affinity · Closed
- Exact endpoint count for signed coordinate wordsstructural-affinity · Closed
- Exact first even return band for the two lattice quotientsstructural-affinity · Closed
- Exact first reversal and the complete final pre-wrap bandstructural-affinity · Closed
- Exact returns at the first odd wrapstructural-affinity · Closed
- The initial odd-wrap return gap at t=2structural-affinity · Closed
- The unique odd-wrap sign thresholdstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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