2 papers
math.GR2018
Profinite groups in which centralizers are abelian
Pavel Shumyatsky, Pavel Zalesskii, Theo Zapata
The article deals with profinite groups in which the centralizers are abelian (CA-groups), that is, with profinite commutativity-transitive groups. It is shown that such groups are…
math.GR2017
Profinite extensions of centralizers and the profinite completion of limit groups
Pavel Zalesskii, Theo Zapata
We introduce and investigate a class of profinite groups defined via extensions of centralizers analogous to the extensively studied class of finitely generated fully residually fr…