The powerful class of groups

Primož Moravec

Mathematische Nachrichten, 2024, vol. 297, issue 4, 1221-1229

Abstract: Pro‐p$p$ groups of finite powerful class are studied. We prove that these are p$p$‐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$p$‐groups of fixed coclass and powerful class.

Date: 2024
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https://doi.org/10.1002/mana.202300141

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