Tatiana Pedraza

Infinite groups with many permutable subgroups

A subgroup H of a group G is said to be permutable in G, if HK = KH for every subgroup K of G. By a result due to Stonehewer, every permutable subgroup is ascendant although the converse is false. On the other hand, permutability is not a transitive relation. In this paper we study some inflnite groups whose ascendant subgroups are permutable. These groups are very close to the groups in which the relation to be a permutable subgroup is transitive. 2001 MSC: Primary: 20F99.

Convergence of fuzzy sets with respect to the supremum metric

Abstract We characterize the convergence of fuzzy sets in the supremum metric given by the supremum of the Hausdorff distances of the α-cuts of the fuzzy sets. We do it by dividing this metric into its lower and upper quasi-pseudometric parts. This characterization is given in the more general context with no assumption on the fuzzy sets. Furthermore, motivated from the theory of Convex Analysis, we also provide some results about the behavior of the convergence in the supremum metric with respect to maximizers.

The Fitting Subgroup and Some Injectors of Radical Locally Finite Groups with min-p for All p

Abstract This work was intended as an attempt to continue the study of the class ℬ of generalised nilpotent groups started in a previous paper. We present some results concerning the Fitting subgroup and the ℬ-injectors of a radical locally finite group satisfying min-p for all p.

On a class of locally finite T-groups

Abstract Radical locally finite groups with min-p for all primes p in which every descendant subgroup is normal are studied in the paper. It turns out that these groups are precisely T-groups, that is, groups whose subnormal subgroups are normal.

A CLASS OF GENERALIZED SUPERSOLUBLE GROUPS

This paper is devoted to the study of groups

Local characterizations of infinite groups whose ascendant subgroups are permutable

G

A local approach to a class of locally finite groups

in the universe

On a Class of Generalized Nilpotent Groups

c\bar{\mathfrak L}

Infinite groups with Sylow permutable subgroups

of all radical locally finite groups with min-

On periodic radical groups in which permutability is a transitive relation

p