FiniteGroups / CONCEPT
Gaschutz Lifting with an Arbitrary Fixed Set
A quotient-generating ordered tuple can be corrected inside a normal subgroup to generate any finite group while keeping an arbitrary set fixed.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES2
PROOF DEPTH0
DOCUMENT LINKS1
Lifting an ordered tuple
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
- Bounded lifts of a fixed quotient tuplestructural-affinity · Closed
- Closure of the bounded-section classstructural-affinity · Closed
- Elementary minimal normal structurestructural-affinity · Closed
- Generator decomposition under explicit absorptionstructural-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
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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