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16.17 (2006)

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Is it true that a non-abelian simple group cannot contain Engel elements other than the identity element?

Contributor: V. V. Bludov

Progress

No, it can: since an involution is an Engel element in any 2-group, counterexamples are provided by non-abelian simple 2-groups; see Archive, 4.74a). (V. V. Bludov, Letter of 30 March 2006.)

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