Engel Elements in Groups and Dynamical Systems Defining Nilpotency in Finite Groups
نویسندگان
چکیده
A relationship between two natural dynamical systems on groups is established thereby giving a new characterization of Engel elements. Using this connection, various closure properties for the sets of left and right Engel elements are established. Some other dynamical systems and their relationship with Engel elements and nilpotency for finite groups are also considered.
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