On Engel Elements of a Group Relative to Certain Subgroup |
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| Authors: | S G Quek P C Wong |
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| Institution: | Institute of Mathematical Sciences , University of Malaya , Kuala Lumpur , Malaysia |
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| Abstract: | An element g in a group G is called a left Engel element of G, if for each x ∈ G, there is a positive integer n = n(g, x) such that x, n g] = 1. In this article, we will study a generalization of the left Engel elements and its connections with the generalized Hirsch–Plotkin and Baer radical. |
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| Keywords: | Baer radical Hirsch-Plotkin radical Left engel Right engel |
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