Engel words and the Restricted Burnside Problem.

Autor: Shumyatsky, Pavel, Silva, Jhone Caldeira
Zdroj: Monatshefte für Mathematik; Mar2010, Vol. 159 Issue 4, p397-405, 9p
Abstrakt: The following theorem is proved. For any positive integers n and k there exists a number s = s(n, k) depending only on n and k such that the class of all groups G satisfying the identity ([x1, ky1] ⋯ [xs, kys])n ≡ 1 and having the verbal subgroup corresponding to the kth Engel word locally finite is a variety. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index