SOME PROPERTIES OF AUTONILPOTENT GROUPS

Authors

  • Foroud Parvaneh Islamic Azad University - Department of Mathematics

Keywords:

autocommutator subgroup, autocentral series, autonilpotent group

Abstract

In this paper, we introduce the notion of autonilpotent groups and study the basic properties of this new notion.  Among other results, it is shown that autonilpotency property is stronger than the usual nilpotency of groups. We also classify all finite abelian groups, which are autonilpotent.

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Published

2015-12-31

How to Cite

Parvaneh, F. (2015). SOME PROPERTIES OF AUTONILPOTENT GROUPS. Italian Journal of Pure and Applied Mathematics, 35, 1–8. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6461

Issue

Section

Articoli - Forum Editrice

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