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Some properties of n-autonilpotent groups

S. F. Mohebian

Department of Basic Sciences, Birjand University of Technology, Birjand, Iran

E-mail Address: mohebian@birjandut.ac.ir

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and

S. Hosseini

Department of Mathematics, Birjand Branch, Islamic Azad University, Birjand, Iran

E-mail Address: sh.hoseini@iaubir.ac.ir

Corresponding author.

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https://doi.org/10.1142/S1793557119500141Cited by:0 (Source: Crossref)

Abstract

The concepts of autonilpotent groups were introduced by Parvaneh and Moghaddam in 2010. In this paper, we introduce the generalized version of lower n-autocenteral and upper n-autocenteral series. Using these concepts, the notion of n-autonilpotent groups will be defined and some of the well-known theorems on autonilpotent groups will be proved in the generalized version.

Communicated by A. F. Vasilév

Keywords:

AMSC: 20D45, 20D25, 20E34

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