FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES

DOI10.1017/fms.2014.9zbMath1325.03068OpenAlexW2008836573MaRDI QIDQ2879421

Philipp Lücke, Saharon Shelah

Publication date: 1 September 2014

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/fms.2014.9

zbMATH Keywords

automorphism groupinner modelfree groupsfree abelian groupsWoodin cardinal

Mathematics Subject Classification ID

Large cardinals (03E55) Free nonabelian groups (20E05) Representations of groups as automorphism groups of algebraic systems (20F29) Applications of set theory (03E75)

Cites Work

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• More game-theoretic properties of Boolean algebras
• Automorphism groups of ultrafilters
• The automorphism tower problem revisited
• Applications of PCF theory
• KWithout the Measurable
• A Core Model Toolbox and Guide
• Automorphism towers and automorphism groups of fields without Choice
• A COUNTABLE STRUCTURE DOES NOT HAVE A FREE UNCOUNTABLE AUTOMORPHISM GROUP
• Set Theory
• Extensions with the approximation and cover properties have no new large cardinals
• Aronszajn trees and the independence of the transfer property

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