trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Direct Sums and Primitive Words

Value cuts decompose doubled permutations into primitive direct-sum factors.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES6
PROOF DEPTH3
DOCUMENT LINKS1
THEOREM

Direct sums preserve doubled support

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Occurrence Orders in Doubled WordsOccurrence Orders in DoubledWordsDirect Sums and Primitive WordsDirect Sums and Primitive WordsThe Fishburn Condition under Direct SumThe Fishburn Condition underDirect SumActive Positions in Direct Sums Avoiding 2431 and 3241Active Positions in Direct SumsAvoiding 2431 and 3241Unique Direct-Sum FactorizationUnique Direct-Sum FactorizationSeparated Value CutsSeparated Value CutsDeletion of the Least ValueDeletion of the Least ValueInsertion into Increasing-Order AvoidersInsertion into Increasing-OrderAvoiders
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Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Nonnesting/NonnestingBasicSum
Repository path
D5/S3/Combinatorics/Nonnesting/NonnestingBasicSum.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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