Farjoun's question

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This article is about a conjecture. View all conjectures and open problems


Let H be a finite nilpotent homomorphism-closed subgroup of a group G. Then, H must be equal to G.

A variant of this is the claim that any finite nilpotent nearly closed subgroup of a group must be the whole group.


  • On a question of Farjoun by Michael Aschbacher, Finite Groups 2003 published by Walter de Gruyter