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math.GR2024
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…
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…