Forcing a Boolean Algebra with predesigned automorphism group

2001/02/06 by Tapani Hyttinen, Saharon Shelah, Hyttinen, Tapani +1
Mathematics · #Advanced Topics in Algebra #Advanced Topology and Set Theory #FOS: Mathematics #Logic (math.LO) #Rings, Modules, and Algebras #math.LO

paper · pdf · doi:10.48550/arxiv.math/0102044

published as Proc. Amer. Math. Soc. 130 No. 10 (2002) 2837--2843

arxiv created 2001/02/06 · openalex publication_date 2001/02/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 aleph_omega a possible number of automorphisms of a rich Boolean algebra?

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