Article
Generators and closed classes of groups
Author/s | Flores Díaz, Ramón Jesús
Rodríguez, José L. |
Department | Universidad de Sevilla. Departamento de Geometría y Topología |
Publication Date | 2021 |
Deposit Date | 2023-04-14 |
Published in |
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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 ... 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. In this way, we extend to the group-theoretic framework the topological analogue proved by Chach´olski, Parent, and Stanley in 2004. We also establish several new relations between singly-generated closed classes. |
Citation | Flores Díaz, R.J. y Rodríguez, J.L. (2021). Generators and closed classes of groups. Publicacions Matemàtiques, 65, 431-457. https://doi.org/10.5565/PUBLMAT6522102. |
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