FiniteGroups / CONCEPT
Headley nonsplit extension
An R-cycle on a kernel and an even R-star quotient construct a cyclic ordering with every nonzero directed difference in an arbitrary finite abelian extension.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES4
PROOF DEPTH2
DOCUMENT LINKS0
The kernel cycle is inserted by a two-row splice
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 translated ten-column relative pathstructural-affinity · Closed
- Band Switching and Expectation Symmetrystructural-affinity · Closed
- Characteristic-seven complete relative pathstructural-affinity · Closed
- Characteristic-seven six-column detourstructural-affinity · Closed
- Cyclic kernels and the exponent measurestructural-affinity · Closed
- Field orbits and the small two-primary leavesstructural-affinity · Closed
- Finite Alternating Paths and Endpoint Pairingstructural-affinity · Closed
- First-return matching compositionstructural-affinity · Closed
- Full-set sequencing in finite abelian groupsstructural-affinity · Closed
- Gordon interleaving and directed differencesstructural-affinity · Closed
- Headley rank-two circular-length pathsstructural-affinity · Closed
- Headley rank-two R-star constructionstructural-affinity · Closed
- HeadleyC2C4OddProductstructural-affinity · Closed
- HeadleyCubeOddProductstructural-affinity · Closed
- HeadleyOddProductstructural-affinity · Closed
- HeadleyOddRowsstructural-affinity · Closed
- K4 Signed Ribbons and the Dyadic Obstructionstructural-affinity · Closed
- Product Orbits of Two Perfect Matchingsstructural-affinity · Closed
- Reversible mixed-radix carriesstructural-affinity · Closed
- Rotational columns, two row orbits, and endpoint insertionstructural-affinity · Closed
- Serial Composition of Actual Endpoint Pairingsstructural-affinity · Closed
- Sewing inventories and cyclic closurestructural-affinity · Closed
- The doubled-coordinate subgroup and E4 quotientstructural-affinity · Closed
- The exhaustive coordinate casesstructural-affinity · Closed
- Weighted Reattachment and the Fair-Band Distributionstructural-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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