Locally graded groups with a condition on infinite subsets
Let $G$ be a group, we say that $G$ satisfies the property $mathcal{T}(infty)$ provided that, every infinite set of elements of $G$ contains elements $xneq y, z$ such that $[x, y, z]=1=[y, z, x]=[z, x, y]$. We denote by $mathcal{C}$ the class of all polycyclic groups, $mathcal{...
Main Authors: | Asadollah Faramarzi Salles, Fatemeh Pazandeh Shanbehbazari |
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Format: | Article |
Language: | English |
Published: |
University of Isfahan
2018-12-01
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Series: | International Journal of Group Theory |
Subjects: | |
Online Access: | http://ijgt.ui.ac.ir/article_21234_67c122bc31064ada379ba0fa8178aec3.pdf |
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