Bull. Korean Math. Soc. 2011; 48(1): 79-83
Printed January 1, 2011
https://doi.org/10.4134/BKMS.2011.48.1.79
Copyright © The Korean Mathematical Society.
Mohammad Reza R. Moghaddam, Foroud Parvaneh, and Mohammad Naghshineh
Centre of Excellence in Analysis on Algebraic Structures, Islamic Azad University, Islamic Azad University
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
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