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arXiv · 1712.04794

Generators and closed classes of groups

Ramón Flores·José L. Rodríguez
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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.

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Ramón Flores, José L. Rodríguez. 2017-12-13. Generators and closed classes of groups. https://arxiv.org/abs/1712.04794

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