SOME PROPERTIES OF AUTONILPOTENT GROUPS
Keywords:
autocommutator subgroup, autocentral series, autonilpotent groupAbstract
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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Copyright (c) 2015 Foroud Parvaneh

This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

