• LEFT AND RIGHT 2-ENGLE ELEMENTS OF DRIVATIVE OF GROUPS
Abstract
In this paper we study right and left 2-Engle elements in derivative of groups. In particular, we prove that R2(G ́)is a characteristic subgroup of G ́.(let G be a group and G ́ be a derivative of G). As a consequence, in a special cases
[x, y]G ́ is a abelian subgroup of G ́and the inverse of a right 2-Engle element of G ́ is a left 3-Engle element of G ́.
[x, y]G ́ is a abelian subgroup of G ́and the inverse of a right 2-Engle element of G ́ is a left 3-Engle element of G ́.
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