FiniteGroups / CONCEPT
From actual quotient return words to simple Cayley graph moments
The actual same-group simple Cayley graphs first differ by two oriented closed walks per vertex, giving an exact adjacency-moment defect.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH9
DOCUMENT LINKS0
Equal moments below the first return defect and an exact trace difference
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 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 returns at the first odd wrapstructural-affinity · Closed
- First moment and characteristic coefficient comparisonstructural-affinity · Closed
- First-return defect for the same actual quotientsstructural-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
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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