Subgroups of the Baer-Specker Group with Few Endomorphisms but Large Dual

Details Subgroups of the Baer-Specker Group with Few Endomorphisms but Large Dual Subgroups of the Baer-Specker Group with Few Endomorphisms but Large Dual

1994-05-23

arxiv.org/abs/math/9405206v1

Mathematics

Logic

Scientific paper

The Baer-Specker group is the product of countably many copies of the
additive group Z of integers. Assuming the continuum hypothesis, we construct a
pure subgroup G of the Baer-Specker group with the following properties. Every
endomorphism of G differs from a scalar multiplication by an endomorphism of
finite rank. Yet G has uncountably many homomorphisms to Z.

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