Document Type
Conference Paper
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Pure mathematics
Abstract
The notions of Hopfian and co-Hopfian groups have been of interest for some time. In this present work we exploit some unpublished ideas of Corner to answer questions relating to such groups. In particular, we extend an answer given by Corner to a problem of Beaumont and Pierce and show how the properties may be lifted from subgroups to the whole group in certain situations.
DOI
https://doi.org/10.1090/conm/576/11356
Recommended Citation
Goldsmith, B. & Gong, K. (2012). A Note on Hopfian and Co-Hopfian Abelian Groups. Proceedings of the American Mathematical Society, vol. 576, pg. 129–136. doi:10.1090/conm/576/11356.