Forcing a Boolean Algebra with predesigned automorphism group

Details Forcing a Boolean Algebra with predesigned automorphism group Forcing a Boolean Algebra with predesigned automorphism group

2001-02-06

arxiv.org/abs/math/0102044v1

Mathematics

Logic

Scientific paper

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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