THE LOWER AUTOCENTRAL SERIES OF ABELIAN GROUPS

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 <TEX>$n^{th}$</TEX>-term of the lower autocentral series of some finite abelian group.