Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583995 | Journal of Algebra | 2016 | 25 Pages |
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
Authors
M.P. Gállego, P. Hauck, M.D. Pérez-Ramos,