- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 The lower autocentral series of abelian groups Bull. Korean Math. Soc. 2011 Vol. 48, No. 1, 79-83 https://doi.org/10.4134/BKMS.2011.48.1.79Published online January 1, 2011 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 MSC numbers : 20D45, 20D25, 20E34 Full-Text :