Generators and closed classes of groups
Group Theory
2021-02-11 v7
Abstract
We show that in the category of groups, every singly-generated class which is closed under isomorphisms, direct limits and extensions is also singly-generated under isomorphisms and direct limits, and in particular is co-reflective. We also establish several new relations between singly-generated closed classes.
Cite
@article{arxiv.1712.04794,
title = {Generators and closed classes of groups},
author = {Ramón Flores and José L. Rodríguez},
journal= {arXiv preprint arXiv:1712.04794},
year = {2021}
}
Comments
30 pages