Lie algebras | Group theory

Engel identity

The Engel identity, named after Friedrich Engel, is a mathematical equation that is satisfied by all elements of a Lie ring, in the case of an Engel Lie ring, or by all the elements of a group, in the case of an Engel group. The Engel identity is the defining condition of an Engel group. (Wikipedia).

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Commutator | Engel's theorem | Jacobi identity | Engel group | Group (mathematics)