FiniteGroups / CONCEPT
Sections of Arbitrary Subgroups
A group section is a surjective image of an arbitrary subgroup; simple sections split across a homomorphism and its kernel.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES3
PROOF DEPTH0
DOCUMENT LINKS1
A simple section occurs in the image or kernel
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Ambient conjugacy of the actual factorsstructural-affinity · Closed
- Closure of the bounded-section classstructural-affinity · Closed
- Large minimal normal subgroupsstructural-affinity · Closed
- Nikolov-Segal Lemma 2: Supplements and Alternating Sectionsstructural-affinity · Closed
- Orders of Large Alternating Groupsstructural-affinity · Closed
- Simple sections of finite productsstructural-affinity · Closed
- Simple Sections of Sylow Normalizersstructural-affinity · Closed
- The Largest Alternating Section Degreestructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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