A Note on Hopfian and Co-Hopfian Abelian Groups

Authors

Brendan Goldsmith, Technological University DublinFollow
Ketao Gong, Technological University DublinFollow

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 In this present work we exploit some unpublished ideas of Corner to answer questions relating to such groups.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.