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Maximal Subgroups of Infinite Symmetric Groups

Published online by Cambridge University Press:  20 November 2018

Fred Richman
Fred Richman*
Affiliation:
New Mexico State University
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 3 , August 1967 , pp. 375 - 381
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Ball, R., Maximal subgroups of infinite symmetric groups. Trans. Amer. Math. Soc. (to appear).Google Scholar