Locally graded groups with certain minimal conditions for subgroups, II
Otal, Javier (Universidad de Zaragoza. Departamento de Matemáticas)
Peña, Juan Manuel (Universidad de Zaragoza. Departamento de Matemáticas)

Data:	1988
Resum:	This paper deals with one of the ways of studying infinite groups many of whose subgroups have a prescribed property, namely the consideration of minimal conditions. If P is a theoretical property of groups and subgroups, we show that a locally graded group G satisfies the minimal condition for subgroups not having P if and only if either G is a Cernikov group or every subgroup of G satisfies P, for certain values of P concerning to normalilty, nilpotency and related ideas.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Publicat a:	Publicacions matemàtiques, V. 32 n. 2 (1988) p. 151-157, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/37555
DOI: 10.5565/PUBLMAT_32288_01

7 p, 228.1 KB

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