Maximal subgroups of infinite symmetric groups

James E. Baumgartner; Saharon Shelah; Simon Thomas

doi:10.1305/ndjfl/1093634559

Maximal subgroups of infinite symmetric groups

James E. Baumgartner, Saharon Shelah, Simon Thomas

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1-11
Number of pages	11
Journal	Notre Dame Journal of Formal Logic
Volume	34
Issue number	1
DOIs	https://doi.org/10.1305/ndjfl/1093634559
State	Published - 1993

All Science Journal Classification (ASJC) codes

Logic

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10.1305/ndjfl/1093634559

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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.",

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AB - 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.

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Maximal subgroups of infinite symmetric groups

Abstract

All Science Journal Classification (ASJC) codes

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