Profinite groups with restricted centralizers of π-elements

A group G is said to have restricted centralizers if for each g in G the centralizer CG(g) either is finite or has finite index in G. Shalev showed that a profinite group with restricted centralizers is virtually abelian. Given a set of primes π, we take interest in profinite groups with restricted...

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Main Authors: Acciarri, Cristina, Shumyatsky, Pavel
Format: Artigo
Language: Inglês
Published: Springer 2022
Subjects:
Online Access: https://repositorio.unb.br/handle/10482/42816
https://doi.org/10.1007/s00209-021-02955-9
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