Original Research Article
Article volume = 2023 and issue = 1
Pages: 1–4
Article publication Date: November 21, 2022
You can download PDF file of the article here: Download
Visited 307 times and downloaded 214 times
The nS(G)-Autonilpotency Of Groups
Sara Barin and Mohammad Mehdi Nasrabadi
Department of Mathematics, University of Birjand, Birjand, Iran.
Abstract:
The various series, definitions such as nilpotency and solubility of groups and all kinds of automorphisms have been the idea of many researchers articles. In this paper, we first study autonilpotent group and their generalizations. Then we give a new definition for nS(G)-autonilpotency and discuss some properties of this concept.
Keywords:
IA-group, IA-central subgroup, autonilpotent group, S(G)-autonilpotent groups, nS(G)-autonilpotent groups.
References:
- [1] S. Bachmuth, Automorphisms of free metabelian groups, Trans. Amer. Math. Soc. 118(1965) (1963), 93–104. 1
- [2] S. Barin, M. M. Nasrabadi, The n-autonilpotency of cyclic and abelian groups, Paper presented at the 12th Iranian Group Theory Conference, Tarbiat Modares University, Tehran, 18-19 February, 2020. 2
- [3] R. G. Ghumde, S. H. Ghate, IA-automorphisms of p-groups, finite polycyclic groups and other results, Matematicki Vesnik, 67 (2015), 194–200. 1
- [4] P. V. Hegarty, The absolute centre of a group, J. Algebra, 169 (1994), 929–935. 1
- [5] D. MacHale, Characteristic Elements in Groups, Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences, 86A (1986), 63–65. 2.15
- [6] M. M. Nasrabadi, A. Gholamian, On the absolute center of some groups, In The 6 th National Group Theory Conference, (2014), 161–164. 2.2, 2.2
- [7] F. Parvaneh, M. R. R. Moghaddam, Some properties of autosoluble groups, J. Math. Ext. 5(1) (2010), 13–19. 2
Cite this article as:
- Sara Barin and Mohammad Mehdi Nasrabadi, The nS(G)-Autonilpotency Of Groups, Communications in Combinatorics, Cryptography & Computer Science, 2023(1), PP.1–4, 2022
- Export citation to BibTeX