FiniteGroups / CONCEPT
Exact first even return band for the two lattice quotients
The two actual lattice quotients have an exact return-count difference throughout their first even return band.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH10
DOCUMENT LINKS0
Each of the two horizontal endpoint fibers contributes one binomial square
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 late strict return gap at the first odd wrapstructural-affinity · Closed
- A sharper positive cone for the original odd-wrap quotientsstructural-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 reversal and the complete final pre-wrap bandstructural-affinity · Closed
- Exact returns at the first odd wrapstructural-affinity · Closed
- First-return defect for the same actual quotientsstructural-affinity · Closed
- From actual quotient return words to simple Cayley graph momentsstructural-affinity · Closed
- One group and exact growth gaps for all odd square displacementsstructural-affinity · Closed
- Same group and diameter, different growthstructural-affinity · Closed
- The first characteristic coefficient separating the actual Cayley graphsstructural-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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