Povzetek: We show that if a Sylow $p$-subgroup of a finite group $G$ is nilpotent of class at most $p$, then the $p$-part of the Bogomolov multiplier of $G$ is locally controlled.Ključne besede: finite groups, Sylow subgroups, Bogomolov multipliersObjavljeno v DiRROS: 24.04.2025; Ogledov: 151; Prenosov: 53 Celotno besedilo (208,47 KB)Gradivo ima več datotek! Več...
Povzetek: 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.Ključne besede: finite p-groups, powerful class, pro-p groupsObjavljeno v DiRROS: 02.07.2024; Ogledov: 472; Prenosov: 235 Celotno besedilo (216,45 KB)Gradivo ima več datotek! Več...
