Bulletin of the Korean Mathematical Society (대한수학회보)

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THE LOWER AUTOCENTRAL SERIES OF ABELIAN GROUPS

  • Received : 2009.05.11
  • Published : 2011.01.31
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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.

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References

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