FiniteGroups / CONCEPT
Large minimal normal subgroups
A fixed factorial cutoff and large alternating-section degree force every actual factor of a finite minimal normal subgroup to be nonabelian simple of order above the cutoff.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES1
PROOF DEPTH4
DOCUMENT LINKS1
Every factor exceeds the fixed cutoff
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
- Actual minimal-normal factor orbitsstructural-affinity · Closed
- Ambient conjugacy of the actual factorsstructural-affinity · Closed
- Closure of the bounded-section classstructural-affinity · Closed
- Elementary minimal normal structurestructural-affinity · Closed
- From transitive blocks to conditional absorptionstructural-affinity · Closed
- Hall interval selection on actual permutation cyclesstructural-affinity · Closed
- Minimal normal factors and the soclestructural-affinity · Closed
- Minimal normal subgroups and smaller quotientsstructural-affinity · Closed
- Nikolov-Segal Lemma 2: Supplements and Alternating Sectionsstructural-affinity · Closed
- Orders of Large Alternating Groupsstructural-affinity · Closed
- Sections of Arbitrary Subgroupsstructural-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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