Geodesic
On Groups with Chain Conditions
Canadian journal of mathematics, Tome 23 (1971) no. 1, pp. 151-159

Voir la notice de l'article provenant de la source Cambridge University Press

Our aim in this note is to generalize results of Baer in [3; 5]. In § 1 an arbitrary formation n is considered, the key result being Proposition 1.5. This is applied in § 2 to characterize various finiteness conditions, for example the classes of groups with maximum [minimum] condition on subgroups, subnormal subgroups, and normal subgroups respectively, or the class of (not necessarily soluble) polyminimax groups (see Theorems 2.1 and 2.6). These results may also be regarded as generalizations of the well-known theorem of Malcev-Baer that a radical group satisfies the maximum condition [is a polyminimax group] if all its abelian subgroups satisfy the maximum condition [are minimax groups]. 
Amberg, Bernhard. On Groups with Chain Conditions. Canadian journal of mathematics, Tome 23 (1971) no. 1, pp. 151-159. doi: 10.4153/CJM-1971-015-8
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