The Lower Central Series in Some Groups with the Subnormal Join Property

Howard Smith
1985 Proceedings of the American Mathematical Society  
The following question is considered: What groups G are such that, given any subnormal subgroups H and K of G, with join J, and given any positive integers a and b. there exists an integer c such that y,.(J) ¡s contained in yll(ff)yh(K)l It ¡s shown that many, but not all, groups known to have the "subnormal join property" satisfy this further condition.
doi:10.2307/2044868 fatcat:jqn6gyhdbnelxed5oscnsczk7y