Maximal subgroups of infinite symmetric groups

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Abstract

We prove that it is consistent that there exists a subgroup of the symmetric group Sym(λ) which is not included in a maximal proper subgroup of Sym(λ). We also consider the question of which subgroups of Sym(λ) stabilize a nontrivial ideal on λ. © 1993, Duke University Press. All Rights Reserved.

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Baumgartner, J. E., Shelah, S., & Thomas, S. (1993). Maximal subgroups of infinite symmetric groups. Notre Dame Journal of Formal Logic, 34(1), 1–11. https://doi.org/10.1305/ndjfl/1093634559

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