Maximal Subgroups of Infinite Symmetric Groups

1990 ◽  
Vol s2-42 (1) ◽  
pp. 85-92 ◽  
Author(s):  
H. D. Macpherson ◽  
Cheryl E. Praeger
1996 ◽  
Vol 47 (3) ◽  
pp. 297-311 ◽  
Author(s):  
JACINTA COVINGTON ◽  
DUGALD MACPHERSON ◽  
ALAN MEKLER

1967 ◽  
Vol 10 (3) ◽  
pp. 375-381 ◽  
Author(s):  
Fred Richman

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 Boolean algebra of “big setoids” of X.


2018 ◽  
Vol 9 (1) ◽  
pp. 27
Author(s):  
Sini P

A subgroup \(H\) of the group \(S(X)\) of all permutations of a set \(X\) is called \(t\)−representable on \(X\) if there exists a topology \(T\) on \(X\) such that the group of homeomorphisms of \((X, T ) = K\). In this paper we study the \(t\)-representability of maximal subgroups of the symmetric group.


1994 ◽  
Vol s3-68 (1) ◽  
pp. 77-111 ◽  
Author(s):  
Marcus Brazil ◽  
Jacinta Covington ◽  
Tim Penttila ◽  
Cheryl E. Praeger ◽  
Alan R. Woods

2006 ◽  
Vol 304 (2) ◽  
pp. 1108-1113 ◽  
Author(s):  
Benjamin Newton ◽  
Bret Benesh

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