### Forcing a Boolean Algebra with predesigned automorphism group

by Hyttinen and Shelah. [HySh:756]

Proc American Math Soc, 2002

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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