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20.90 (2022)

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A profinite group in which all centralizers of non-trivial elements are pronilpotent is called a CN-group. Find an example of a finitely generated infinite profinite CN-group which is not prosoluble.

The structure of profinite CN-groups is described in (P. Shumyatsky, Israel J. Math., 235, no. 1 (2020), 325–347).

Contributor: P. Shumyatsky

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