On finite-by-nilpotent profinite groups
Let $\gamma_n=[x_1,\ldots,x_n]$ be the $n$th lower central word. Suppose that $G$ is a profinite group where the conjugacy classes $x^{\gamma_n(G)}$ contains less than $2^{\aleph_0}$ elements for any $x \in G$. We prove that then $\gamma_{n+1}(G)$ has finite order. This generalizes the m...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2020-12-01
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| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | https://ijgt.ui.ac.ir/article_24082_41ac893d8fe29fcd71cc231d5864a1ef.pdf |