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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

$ \omega!$ can be a nontrivial automorphism group


Author: Judith Roitman
Journal: Proc. Amer. Math. Soc. 112 (1991), 623-628
MSC: Primary 03E35; Secondary 03E05, 06E05, 20B27
DOI: https://doi.org/10.1090/S0002-9939-1991-1059636-4
MathSciNet review: 1059636
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Abstract: Under the axiom "there are $ {\omega _1}$ cofinal Cohen reals," the symmetric group on $ \omega $ is the nontrivial automorphism group of a thin-tall superatomic Boolean algebra. Certain product groups are also, under the same axiom, nontrivial automorphism groups of thin-tall superatomic Boolean algebras.


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DOI: https://doi.org/10.1090/S0002-9939-1991-1059636-4
Article copyright: © Copyright 1991 American Mathematical Society