FiniteGroups / CONCEPT
Same group and diameter, different growth
One noncyclic finite group supports equal-diameter coordinate markings with sharply different ball growth.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH7
DOCUMENT LINKS0
Explicit quotient equivalences and a unique growth-gap peak
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 missing square point forces a smaller Lee coverstructural-affinity · Closed
- Abstract finite noncyclic upper boundsstructural-affinity · Closed
- An affine odd square detects the necessary congruencesstructural-affinity · Closed
- Exact endpoint count for signed coordinate wordsstructural-affinity · Closed
- Exact first even return band for the two lattice quotientsstructural-affinity · Closed
- Exact growth and diameter of asymmetric lattice quotientsstructural-affinity · Closed
- Exact growth from finite rank-one fibersstructural-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
- Rigidity from adjacent columns and quotient indexstructural-affinity · Closed
- The Bajnok–Beatty sharp maximum for radius at least threestructural-affinity · Closed
- The first characteristic coefficient separating the actual Cayley graphsstructural-affinity · Closed
- The original Bajnok–Beatty Conjecture 4.1structural-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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