Generators and closed classes of groups
Flores, Rámon (Universidad de Sevilla. Departamento de Geometría y Topología)
Rodríguez, Jose L. (Universidad de Almería. Departamento de Matemáticas)

Data:	2021
Resum:	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.
Ajuts:	Ministerio de Educación y Ciencia MTM2010-20692 Ministerio de Educación y Ciencia MTM-2016-76453-C2-1-P
Nota:	The first author was partially supported by FEDER-MEC grants MTM2010-20692 and MTM-2016-76453-C2-1-P. Second-named author was supported by grant MTM2016-76453-C2-2-P and grant FQM-213 of the Junta de Andalucía.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Co-reflections ; Cellular covers ; Direct limits ; Extensions ; Radicals
Publicat a:	Publicacions matemàtiques, Vol. 65 Núm. 2 (2021) , p. 431-457 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/390227
DOI: 10.5565/PUBLMAT6522102

27 p, 433.0 KB

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