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Maximal Subgroups of Infinite Symmetric Groups

Proceedings of the London Mathematical Society, 1994
This work is concerned with maximal subgroups of \(S=\text{Sym}(\Omega)\) where \(\Omega\) is a set of infinite cardinality \(\kappa\). Known examples include stabilizers of finite sets, ``almost'' stabilizers of infinite sets \(\Sigma\) where \(| \Sigma|< \kappa\), and ``almost'' stabilizers of finite partitions.
Brazil, Marcus   +4 more
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Maximal Subgroups of Infinite Symmetric Groups

Journal of the London Mathematical Society, 1990
It is shown that if G is a permutation group on a countable set X and if G is not highly transitive, then G is contained in some maximal proper subgroup of the full symmetric group on X.
Macpherson, H. D., Praeger, Cheryl E.
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Two maximal subgroups of E8(2)

Israel Journal of Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Parker, Chris, Saxl, Jan
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Maximal Subgroups of Infinite Symmetric Groups

Canadian Mathematical Bulletin, 1967
The purpose of this paper is to extend results of Ball [1] concerning maximal subgroups of the group S(X) of all permutations of the infinite set X. The basic idea is to consider S(X) as a group of operators on objects more complicated than X. The objects we consider here are subspaces of the Stone-Čech compactification of the discrete space X and the ...
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