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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.
Keywords: finite p-groups, powerful class, pro-p groups
Published in DiRROS: 02.07.2024; Views: 1; Downloads: 2
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