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arXiv · 1809.04462

Profinite groups with pronilpotent centralizers

Pavel Shumyatsky
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Abstract

The article deals with profinite groups in which the centralizers are pronilpotent (CN-groups). It is shown that such groups are virtually pronilpotent. More precisely, let G be a profinite CN-group, and let F be the maximal normal pronilpotent subgroup of G. It is shown that F is open and the structure of the finite quotient G/F is described in detail.

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Pavel Shumyatsky. 2018-09-12. Profinite groups with pronilpotent centralizers. https://arxiv.org/abs/1809.04462

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