Sylow theory of -groups
Groups with minimal conditions related to finiteness properties on conjugacy classes
Locally graded groups with certain minimal conditions for subgroups (II).
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 P satisfies the minimal conditions 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 normality, nilpotency and related ideas.
Infinite locally finite groups of type PSL(2,K) or Sz(K) are not minimal under certain conditions.
In classifying certain infinite groups under minimal conditions it is needed to find non-simplicity criteria for the groups under consideration. We obtain some of such criteria as a consequence of the main result of the paper and the classification of finite simple groups.
Interpolación, eliminación y matrices totalmente positivas.
Estudio del error progresivo en la eliminación de Neville
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