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The powerful class of groups

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  • Primož Moravec

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.

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  • Primož Moravec, 2024. "The powerful class of groups," Mathematische Nachrichten, Wiley Blackwell, vol. 297(4), pages 1221-1229, April.
    • Handle: RePEc:bla:mathna:v:297:y:2024:i:4:p:1221-1229
    DOI: 10.1002/mana.202300141
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