The upper central series of the maximal normal 𝑝-subgroup of a group of automorphisms
Abstract Let 𝐺 be a bounded abelian 𝑝-group, with automorphism group Aut ( G ) \operatorname{Aut}(G) . Whenever 𝐺 satisfies certain conditions, we determine the upper central series and nilpotency class of the maximal normal 𝑝-subgroup of Aut ( G ) \operatorname{Aut}(G) .