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Some Aspects of (Relative) Autonilpotent Groups

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Iranian Journal of Science and Technology, Transactions A: Science Aims and scope Submit manuscript

Abstract

In this article by means of the autonilpotent group and autocentral series of a group, we generalize some results concerning the terms of the central series, specifically, results on nilpotency of a group. We further derive a result similar to that of Fitting’s theorem.

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Acknowledgements

The authors are grateful to the referees for useful comments which improved the presentation of the paper.

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Correspondence to Mohammad Reza Rismanchian.

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Sepehrizadeh, Z., Rismanchian, M.R. Some Aspects of (Relative) Autonilpotent Groups. Iran J Sci Technol Trans Sci 43, 2429–2432 (2019). https://doi.org/10.1007/s40995-019-00713-5

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  • DOI: https://doi.org/10.1007/s40995-019-00713-5

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