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 groupsPublished in DiRROS: 02.07.2024; Views: 1; Downloads: 2 Full text (216,45 KB)This document has many files! More...