trureturingGitHub MATHEMATICAL ATLAS

Factorization / CONCEPT

Finite Prime-Power Quotient Completeness

Finite prime-power quotient completeness is equivalent to nilpotence.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Finite prime-power quotient completeness characterizes nilpotence

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Direct recorded relationships
The Joint Kernel of All Finite QuotientsThe Joint Kernel of All FiniteQuotientsFinite Prime-Power Quotient CompletenessFinite Prime-Power QuotientCompletenessPrime-Power and Finite-Quotient Separation for A5Prime-Power and Finite-QuotientSeparation for A5CRT as a Nilpotent Abelian VictoryCRT as a Nilpotent AbelianVictory
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Factorization
Node ID
D5/S3/Factorization/PrimePowers/FinitePrimePowerQuotientCompleteness
Repository path
D5/S3/Factorization/PrimePowers/FinitePrimePowerQuotientCompleteness.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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