Subgroups of the Baer-Specker Group with Few Endomorphisms but Large Dual
Logic
2016-09-06 v1
Abstract
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.
Cite
@article{arxiv.math/9405206,
title = {Subgroups of the Baer-Specker Group with Few Endomorphisms but Large Dual},
author = {Andreas Blass and Rüdiger Göbel},
journal= {arXiv preprint arXiv:math/9405206},
year = {2016}
}