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THE LOWER AUTOCENTRAL SERIES OF ABELIAN GROUPS
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 Title & Authors
THE LOWER AUTOCENTRAL SERIES OF ABELIAN GROUPS
Moghaddam, Mohammad Reza R.; Parvaneh, Foroud; Naghshineh, Mohammad;
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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 -term of the lower autocentral series of some finite abelian group.
 Keywords
autocommutator subgroup;autocentral series;abelian group;
 Language
English
 Cited by
1.
AUTOCOMMUTATORS AND AUTO-BELL GROUPS,;;;

대한수학회보, 2014. vol.51. 4, pp.923-931 crossref(new window)
2.
NON-ABELIAN TENSOR ANALOGUES OF 2-AUTO ENGEL GROUPS,;;

대한수학회보, 2015. vol.52. 4, pp.1097-1105 crossref(new window)
1.
Autonilpotent groups and their properties, Asian-European Journal of Mathematics, 2016, 09, 03, 1650056  crossref(new windwow)
2.
NON-ABELIAN TENSOR ANALOGUES OF 2-AUTO ENGEL GROUPS, Bulletin of the Korean Mathematical Society, 2015, 52, 4, 1097  crossref(new windwow)
3.
AUTOCOMMUTATORS AND AUTO-BELL GROUPS, Bulletin of the Korean Mathematical Society, 2014, 51, 4, 923  crossref(new windwow)
4.
Relative autocommutator subgroups of abelian groups, Journal of Algebra and Its Applications, 2017, 16, 05, 1750086  crossref(new windwow)
5.
On A-nilpotent abelian groups, Proceedings - Mathematical Sciences, 2014, 124, 4, 517  crossref(new windwow)
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