4 citations · 4 across the 3 of their papers we have counts for
4 papers
Compact -adic analytic groups in which centralizers are abelian
Luis Mendonça, Thomas S. Weigel, Theo Zapata
Using methods of associative algebras, Lie theory, group cohomology, and modular representation theory, we construct profinite -adic analytic groups such that the centralizer of…
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…
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…
Splitting theorems for pro- groups acting on pro- trees and 2-generated subgroups of free pro- products with procyclic amalgamations
Wolfgang Herfort, Pavel Zalesskii, Theo Zapata
Let G be a finitely generated infinite pro-p group acting on a pro-p tree such that the restriction of the action to some open subgroup is free. Then we prove that G splits as a pr…