FiniteGroups / CONCEPT
Exact growth and diameter of asymmetric lattice quotients
Full odd asymmetric lattice quotients have exact finite order, ball growth and signed Cayley diameter.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH6
DOCUMENT LINKS0
The full odd asymmetric lattice family has exact growth and diameter
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 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
- One group and exact growth gaps for all odd square displacementsstructural-affinity · Closed
- Rigidity from adjacent columns and quotient indexstructural-affinity · Closed
- Same group and diameter, different growthstructural-affinity · Closed
- The Bajnok–Beatty sharp maximum for radius at least threestructural-affinity · Closed
- The initial odd-wrap return gap at t=2structural-affinity · Closed
- The original Bajnok–Beatty Conjecture 4.1structural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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