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Maximal Subgroups of Infinite Symmetric Groups
Proceedings of the London Mathematical Society, 1994This 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, 1990It 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, 2006zbMATH 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, 1967The 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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On the inertia groups of the maximal subgroup 27:Sp6(2) in Aut(Fi22)
, 2015R. L. Fray, A. L. Prins
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Finite groups in which every nonsolvable maximal subgroup is a Hall subgroup
, 2014V. A. Vedernikov
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Finite 2-groups with exactly one nonmetacyclic maximal subgroup
, 2008Z. Janko
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