A relation between infinite subsets and exterior center in groups
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Abstract:
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 of G has two different elements x and y such that x^y=1 if and only if the exterior center of G ihas finite index.
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volume 8 issue 1
pages 0- 0
publication date 2022-03
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