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

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dc.creatorAbdollahi, A.
dc.creatorFaghihi, A.
dc.creatorHassanabadi, A. Mohammadi
dc.date2007-09-20
dc.date.accessioned2026-07-07T08:31:03Z
dc.date.available2026-07-07T08:31:03Z
dc.descriptionA 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.
dc.identifierhttps://arxiv.org/abs/0709.3185
dc.identifierhttp://arxiv.org/abs/0709.3185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138401
dc.subjectGroup Theory
dc.subjectRings and Algebras
dc.subject20D45, 20E36, 16Y30
dc.title3-Generator Groups whose Elements Commute with Their Endomorphic Images Are Abelian
dc.typetext

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