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Title

پوچتوانی و حلپذیری گروه نسبت به یک خودریختی

Year: 1394
COI: JR_CJMS-4-2_011
Language: EnglishView: 239
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Authors

R. barzegar - Department of mathematics, Sari Branch, Islamic Azad University, Sari, Iran

Abstract:

In this paper we introduce the concept of α-commutator which its definition is based on generalized conjugate classes. With this notion, α-nilpotent groups, α-solvable groups, nilpotency and solvability of groups related to the automorphism are defined. N(G) and S(G) are the set of all nilpotency classes and the set of all solvability classes for the group G with respect to different automorphisms of the group, respectively. If G is nilpotent or solvable with respect to the all its automorphisms, then is referred as it absolute nilpotent or solvable group. Subsequently, N(G) and S(G) are obtained for certain groups. This work is a study of the nilpotency and solvability of the group G from the point of view of the automorphism which the nilpotent and solvable groups have been divided to smaller classes of the nilpotency and the solvability with respect to its automorphisms.

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Paper COI Code

This Paper COI Code is JR_CJMS-4-2_011. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/938357/

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
barzegar, R.,1394,پوچتوانی و حلپذیری گروه نسبت به یک خودریختی,https://civilica.com/doc/938357

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Type of center: Azad University
Paper count: 4,345
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