3-Generator Groups whose Elements Commute with Their Endomorphic Images Are Abelian

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138401A group in which every element commutes with its endomorphic images is called an $E$-group. Our main result is that all 3-generator $E$-groups are abelian. It follows that the minimal number of generators of a finitely generated non-abelian $E$-group is four.Group TheoryRings and Algebras20D45, 20E36, 16Y303-Generator Groups whose Elements Commute with Their Endomorphic Images Are Abeliantext