Zorn's theorem on Engel groups

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This article gives a proof/explanation of the equivalence of multiple definitions for the term finite nilpotent group
View a complete list of pages giving proofs of equivalence of definitions

Statement

The following are equivalent for a finite group:

  1. The group is a nilpotent group, i.e., a finite nilpotent group.
  2. The group is an Engel group.