Atomic topological groups

We investigate the atoms of the lattice L(G) of all group topologies on a group G by using the close connection between atoms of L(G), and minimal Hausdorff elements of the lattice L (G/N) for appropriate quotient groups G/N. We show, among others, that virtually hypercentral groups have only degene...

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Bibliographic Details
Main Authors: Dikran Dikranjan, Hossein Khass, Behnam Bazigaran
Format: Article
Language:English
Published: Aracne 2018-12-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:http://www.advgrouptheory.com/journal/Volumes/6/Dikranjan,%20Khass,%20Bazigaran%20-%20Atomic%20topological%20groups.pdf