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)
Date: |
1988 |
Abstract: |
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. |
Rights: |
Tots els drets reservats. |
Language: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Published in: |
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
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Record created 2009-04-21, last modified 2023-12-07