Subgroups of symmetric groups - Open Access .click

Annali Di Matematica Pura Ed Applicata, 1991
All maximal supersoluble subgroups of symmetric groups are classified. But, in fact, the main result in this paper is the classification of the maximal supersoluble transitive subgroups of the symmetric group \(S_ n\) on \(n\) letters. The proof of the main result splits into two parts. In Section 4 the authors present a certain general construction of
Mariagrazia Bianchi, Peter Hauck, Bianchi Mariagrazia +2 more
exaly +3 more sources

Implausible Subgroups of Infinite Symmetric Groups

Bulletin of the London Mathematical Society, 1988
Let S denote the infinite symmetric group of all permutations of \(\omega\), the set of natural numbers. The authors study the possibilities for the induced action of subgroups \(G\subseteq S\) on the power set \({\mathcal P}(\omega)\). Assuming Martin's axiom (MA), they show, in particular, that for any infinite cardinal \(\kappa
Shelah, Saharon, Thomas, Simon
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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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symmetric groups
maximal subgroups
symmetric group

fos: mathematics
group theory
mathematics

series and lattices of subgroups
subgroup theorems subgroup growth
infinite symmetric groups