Forcing a Boolean Algebra with predesigned automorphism group
Tapani Hyttinen, Saharon Shelah
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 alephomega a possible number of automorphisms of a rich Boolean algebra?
Create a lesson
Related papers
A Reflection Calculus for Bar Induction and the Linearity of Consistency Strength Ordering
Fedor Pakhomov, Vlad Lazar
What David Teaches Goliath: An Inevitable Extension of ZFC
Ali Enayat
Measures in Nairian models, I
Gabriel Goldberg, Grigor Sargsyan
On separable pairs of fields and beautiful pairs of separably closed valued fields
Zhengqing He, Martin Hils
Fragments of SRP, the nonstationary ideal, and diagonal reflection
Gunter Fuchs, Hiroshi Sakai
Functional Projection and Complexity Reduction
Vera Fischer, Yurii Khomskii, Yipu Li et al.