FiniteGroups / CONCEPT
Closure of the bounded-section class
For finite groups, a bound on every alternating section passes through subgroups and quotients and is stable under extensions when the threshold is at least four.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH3
DOCUMENT LINKS1
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
- Bounded lifts of a fixed quotient tuplestructural-affinity · Closed
- From transitive blocks to conditional absorptionstructural-affinity · Closed
- Gaschutz Lifting with an Arbitrary Fixed Setstructural-affinity · Closed
- Generator decomposition under explicit absorptionstructural-affinity · Closed
- Hall interval selection on actual permutation cyclesstructural-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
- 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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