FiniteGroups / CONCEPT
One group and exact growth gaps for all odd square displacements
All odd square displacements give one noncyclic group, equal diameter, and exact growth gaps.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH8
DOCUMENT LINKS0
All odd square displacements: one group, two markings, one exact peak
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- 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 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
- 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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