ConceptDynamics / CONCEPT
Universal independent roots over arbitrary groups
For an arbitrary group, roots of every positive degree exist precisely when every finite actual isotypic class has period one and infinitely divisible holonomy.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH13
DOCUMENT LINKS0
Exact arbitrary-family criterion
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
- Coherent rational time from infinite multiplicitystructural-affinity · Closed
- Cube roots on three signed return chartsstructural-affinity · Closed
- Finite covers of signed return atlasesstructural-affinity · Closed
- Finite families and exact root multiplicitiesstructural-affinity · Closed
- Prime roots on complete return-chart familiesstructural-affinity · Closed
- Rational time on a single complete return chartstructural-affinity · Closed
- Square roots on two full actual lift orbitsstructural-affinity · Closed
- The full coherent rational-time criterionstructural-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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