On Central Automorphisms Fixing the Center Element-wise
classification
🧮 math.GR
keywords
centercentralelement-wiseautomorphismautomorphismsclassconditionsfind
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Let $G$ be a finite $p$-group of nilpotency class 2. We find necessary and sufficient conditions on $G$ such that each central automorphism of $G$ fixes the center of $G$ element-wise.
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