Robert Fitzgerald Morse: Solvable Engel Groups 1 Solvable Engel Groups with Nilpotent Normal Closures

نویسنده

  • ROBERT FITZGERALD MORSE
چکیده

In this paper we investigate certain solvable (n+1)-Engel groups and bounded left Engel groups. We show that these (n + 1)-Engel groups can be characterized as those groups in which the normal closure of each element in the group is nilpotent of class at most n. Similarly, the bounded left Engel groups investigated can be characterized as those groups in which the normal closure of each element is nilpotent.

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تاریخ انتشار 2002