Mohammad Reza R. Moghaddam, Foroud Parvaneh, and Mohammad Naghshineh Centre of Excellence in Analysis on Algebraic Structures, Islamic Azad University, Islamic Azad University
Abstract : In the present paper we introduce the lower autocentral series of autocommutator subgroups of a given group. Following our previous work on the subject in 2009, it is shown that every finite abelian group is isomorphic with $n^{th}$-term of the lower autocentral series of some finite abelian group.
Keywords : autocommutator subgroup, autocentral series, abelian group
