Right 2-Engel Elements and Commuting Automorphisms of Groups
It is shown that there is a close connection between the right 2-Engel elements of a group and the set of the so-called commuting automorphisms of the group. As a consequence, the following general theorem is proved: If G is a group and if R-2(G) denotes the subgroup of right 2-Engel elements, then the factor group R-2(G) boolean AND C-G(G')/Z(2)(G) is a group of exponent at most 2. (C) 2001 Academic Press.
Journal of Algebra
Walls, G. L.
(2001). Right 2-Engel Elements and Commuting Automorphisms of Groups. Journal of Algebra, 238(2), 479-484.
Available at: https://aquila.usm.edu/fac_pubs/3900