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arXiv:1712.04794 [math.GR]AbstractReferencesReviewsResources

Generators and closed class of groups

Ramón Flores, José L. Rodríguez

Published 2017-12-13Version 1

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.

Comments: 21 pages
Categories: math.GR
Subjects: 20E34, 20E22, 55P60
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