trureturingGitHub MATHEMATICAL ATLAS

FiniteGroups / CONCEPT

R-cycles for all noncyclic finite abelian two-groups

Every finite noncyclic additive abelian two-group has a cyclic ordering of its nonzero elements whose directed differences run through those same elements exactly once.

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DIRECT PREREQUISITES4
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PROOF DEPTH5
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THEOREM

The unbounded two-primary induction

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The exhaustive coordinate casesThe exhaustive coordinate casesHeadleyOddProductHeadleyOddProductHeadley rank-two R-star constructionHeadley rank-two R-starconstructionAbstract finite abelian two-groups in coordinatesAbstract finite abelian two-groups in coordinatesR-cycles for all noncyclic finite abelian two-groupsR-cycles for all noncyclicfinite abelian two-groups
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Lean sourceResearch workspace
Status
Closed
Depth
5
Layer
D5/S3
Domain
FiniteGroups
Node ID
D5/S3/FiniteGroups/HeadleyTwoGroupInduction
Repository path
D5/S3/FiniteGroups/HeadleyTwoGroupInduction.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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