FiniteGroups / CONCEPT
Exact endpoint count for signed coordinate words
The endpoint fiber of signed coordinate words is a product of two fixed-size subset fibers.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH9
DOCUMENT LINKS0
Two independent position subsets give the two binomial factors
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
- Abstract finite noncyclic upper boundsstructural-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
- 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
- Same group and diameter, different growthstructural-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 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
Content history
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