A relation between infinite subsets and exterior center in groups

Let G be a group. Neumann to answer a question of Paul Erdos proved that every infinite subset of G has two different comuting elements  if and only if G is center-by-finite. In this paper, we deal with Erdoschr('39')s question in different aspect and we show that every infinite subset X o...

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Bibliographic Details
Main Author: Assadollah Faramarzi Salles
Format: Article
Language:fas
Published: Kharazmi University 2022-03-01
Series:پژوهش‌های ریاضی
Subjects:
Online Access:http://mmr.khu.ac.ir/article-1-3060-en.html