FiniteGroups / CONCEPT
Orders of Large Alternating Groups
Alternating groups of degree at least five have order divisible by sixty and cannot be 2-groups.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS1
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
- Actual minimal-normal factor orbitsstructural-affinity · Closed
- Bounded lifts of a fixed quotient tuplestructural-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
- Sections of Arbitrary Subgroupsstructural-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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