Automorphism Groups of Denumerable Boolean Algebras
- 1 June 1977
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 29 (3) , 466-471
- https://doi.org/10.4153/cjm-1977-050-x
Abstract
We are concerned with the extent to which the structure of a Boolean algebra (or BA, for brevity) is reflected in its group of automorphisms, Aut . In particular, for which algebras can one conclude that if Aut Aut , then Monk has conjectured [3] that this implication holds for denumerable BA's with at least one atom. We shall refute his conjecture, but show that the implication does hold if and are denumerable, if each has at least one atom, and if the sum of the atoms exists in . In fact, under those assumptions the algebra 21 can be rather neatly recovered from its abstract automorphism group.Keywords
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