Forcing a boolean algebra with predesigned automorphism group

Tapani Hyttinen; Saharon Shelah

doi:10.1090/S0002-9939-02-06399-2

Forcing a boolean algebra with predesigned automorphism group

Tapani Hyttinen^*, Saharon Shelah

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

For suitable groups G we will show that one can add a Boolean algebra B by forcing in such a way that Aut(B) is almost isomorphic to G. In particular, we will give a positive answer to the following question due to J. Roitman: Is א_ω a possible number of automorphisms of a rich Boolean algebra?

Original language	English
Pages (from-to)	2837-2843
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	130
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-02-06399-2
State	Published - Oct 2002
Externally published	Yes

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10.1090/S0002-9939-02-06399-2

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Forcing a boolean algebra with predesigned automorphism group

Abstract

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