Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleON A CLASS OF NORMAL ENDOMORPHISMS OF GROUPS.AuthorsDE GIOVANNI, FRANCESCO; NEWELL, MARTIN L.; RUSSO, ALESSIOAbstractIt is proved that if θ is an endomorphism of a group G such that 〈x, xθ〉 is cyclic for all elements x of G, then θ is a normal endomorphism of G, i.e. it commutes with all inner automorphisms of G.SubjectsENDOMORPHISMS; AUTOMORPHISM groups; CYCLIC groups; AUTOMORPHISMS; CLASS analysis; MATHEMATICAL statistics; MATHEMATICAL analysisPublicationJournal of Algebra & Its Applications, 2014, Vol 13, Issue 1, p-1ISSN0219-4988Publication typeArticleDOI10.1142/S0219498813500618