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FiniteGroups / CONCEPT

Finite Group Obstruction for Orders Nine, Three and Two

A finite group of order dividing seventy-two cannot be generated by elements of exact orders nine and three whose product has exact order two.

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THEOREM

The universal finite-group obstruction

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Finite Group Obstruction for Orders Nine, Three and TwoFinite Group Obstruction forOrders Nine, Three and TwoThe native Coxeter quotient obstructionThe native Coxeter quotientobstruction
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
FiniteGroups
Node ID
D5/S3/FiniteGroups/CycleNineThreeObstruction
Repository path
D5/S3/FiniteGroups/CycleNineThreeObstruction.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.