Locally finite groups and configurations

DOI10.1515/JGTH-2020-0178zbMath1489.20019OpenAlexW4212805610MaRDI QIDQ2068339

Mahdi Meisami, Meisam Soleimani Malekan, Akram Yousofzadeh, Ali Rejali

Publication date: 19 January 2022

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2020-0178

zbMATH Keywords

configurationamenable grouplocally finite groupweak\(^{*}\) convergence

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Means on groups, semigroups, etc.; amenable groups (43A07)

Uses Software

• MathOverflow

Cites Work

• Solubility of groups can be characterized by configuration
• Group properties characterised by configurations
• Paradoxical partition of unity for hypergroups
• Configuration of groups and paradoxical decompositions
• Paradoxical decomposition of semigroups
• Weak Convergence Is Not Strong Convergence For Amenable Groups
• Group Properties Characterized by Two-sided Configurations
• Configurations and invariant nets for amenable hypergroups and related algebras
• CONFIGURATION OF NILPOTENT GROUPS AND ISOMORPHISM
• A constructive way to compute the Tarski number of a group
• Configuration equivalence is not equivalent to isomorphism
• Two-sided configuration equivalence and isomorphism
• ON CONFIGURATION GRAPH AND PARADOXICAL DECOMPOSITION

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