FiniteGroups / CONCEPT
Exact returns at the first odd wrap
At the first odd wrap, the actual lattice quotient return fibers have exact binomial counts.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES3
PROOF DEPTH10
DOCUMENT LINKS0
Four generator endpoints account for every return
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 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 growth and diameter of asymmetric lattice quotientsstructural-affinity · Closed
- Exact growth from finite rank-one fibersstructural-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
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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