Profinite groups in which centralizers are virtually procyclic
نویسندگان
چکیده
The article deals with profinite groups in which centralizers are virtually procyclic. Suppose that G is a group such the centralizer of every nontrivial element torsion-free while infinite order We show either pro- p for some prime or procyclic ( Theorem 1.1 ). same conclusion holds 1.2 ); moreover, if not , then has finite rank.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2021
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2021.07.008