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arXiv · 2004.05977

On profinite groups in which centralizers have bounded rank

Pavel Shumyatsky
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Abstract

For a positive integer r we prove that if G is a profinite group in which the centralizer of every nontrivial element has rank at most r, then G is either a pro-p group or a group of finite rank. Further, if G is not virtually a pro-p group, then G is virtually of rank at most r+1.

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Pavel Shumyatsky. 2020-04-13. On profinite groups in which centralizers have bounded rank. https://arxiv.org/abs/2004.05977

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