26 citations · 27 across the 22 of their papers we have counts for
4 papers · 1 filter
Lower central words in finite -groups
Iker de las Heras, Marta Morigi
It is well known that the set of values of a lower central word in a group need not be a subgroup. For a fixed lower central word and for , Guralnick showed that…
On finite-by-nilpotent groups
Eloisa Detomi, Guram Donadze, Marta Morigi +1
Let be the th lower central word. Denote by the set of -values in a group and suppose that there is a number such that …
Words of Engel type are concise in residually finite groups. Part II
Eloisa Detomi, Marta Morigi, Pavel Shumyatsky
Given a group-word w and a group G, the verbal subgroup w(G) is the one generated by all w-values in G. The word w is called concise if w(G) is finite whenever the set of w-values…
Profinite groups with restricted centralizers of commutators
E. Detomi, M. Morigi, P. Shumyatsky
A group G has restricted centralizers if for each g in G the centralizer C_G(g) either is finite or has finite index in G. A theorem of Shalev states that a profinite group with re…