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http://dx.doi.org/10.4134/BKMS.2011.48.1.079

THE LOWER AUTOCENTRAL SERIES OF ABELIAN GROUPS  

Moghaddam, Mohammad Reza R. (FACULTY OF MATHEMATICAL SCIENCES FERDOWSI UNIVERSITY OF MASHHAD AND CENTRE OF EXCELLENCE IN ANALYSIS ON ALGEBRAIC STRUCTURES)
Parvaneh, Foroud (DEPARTMENT OF MATHEMATICS ISLAMIC AZAD UNIVERSITY)
Naghshineh, Mohammad (DEPARTMENT OF MATHEMATICS ISLAMIC AZAD UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.1, 2011 , pp. 79-83 More about this Journal
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;
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