Article ID Journal Published Year Pages File Type
4583995 Journal of Algebra 2016 25 Pages PDF
Abstract

In this paper we study groups G generated by two subgroups A and B   such that 〈a,b〉〈a,b〉 is nilpotent of class at most 2 for all a∈Aa∈A and b∈Bb∈B. A detailed description of the structure of such groups is obtained, generalizing the classical result of Hopkins and Levi on 2-Engel groups.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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