2-Engel implies class three for groups
From Groupprops
This article gives the statement and possibly, proof, of an implication relation between two group properties. That is, it states that every group satisfying the first group property (i.e., 2-Engel group) must also satisfy the second group property (i.e., group of nilpotency class three)
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Contents
Statement
Any 2-Engel group must be a group of nilpotency class three.
Related facts
Similar facts for 2-Engel
- 2-Engel implies class three for Lie rings
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