17 citations · 28 across the 7 of their papers we have counts for
Showing 2012Show all
2 papers · 1 filter
math.GR2012★ 17 cited
On groups admitting a word whose values are Engel
Raimundo Bastos, Pavel Shumyatsky, Antonio Tortora +1
Let m, n be positive integers, v a multilinear commutator word and w = v^m. We prove that if G is a residually finite group in which all w-values are n-Engel, then the verbal subgr…
math.GR2012
On groups with all subgroups subnormal or soluble of bounded derived length
Kivanc Ersoy, Antonio Tortora, Maria Tota
In this paper, we deal with locally graded groups whose subgroups are either subnormal or soluble of bounded derived length, say d. In particular, we prove that every locally (solu…