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arXiv · 2310.02073

The powerful class of groups

Primoz Moravec
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Abstract

Pro-$p$ groups of finite powerful class are studied. We prove that these are $p$-adic analytic, and further describe their structure when their powerful class is small. It is also shown that there are only finitely many finite $p$-groups of fixed coclass and powerful class.

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Primoz Moravec. 2023-10-03. The powerful class of groups. https://arxiv.org/abs/2310.02073

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