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Some questions on quasinilpotent groups and related classes.

M.J. Iranzo; J. Medina; F. Pérez-Monasor — 2002

Revista Matemática Iberoamericana

In this paper we will prove that if G is a finite group, X a subnormal subgroup of X F*(G) such that X F*(G) is quasinilpotent and Y is a quasinilpotent subgroup of NG(X), then Y F*(NG(X)) is quasinilpotent if and only if Y F*(G) is quasinilpotent. Also we will obtain that F*(G) controls its own fusion in G if and only if G = F*(G).

The lattice of Fitting classes which are right extensible by soluble groups.

M.J. Iranzo; Julio P. Lafuente; F. Pérez-Monasor — 2005

Publicacions Matemàtiques

In this paper we study the set of Fitting classes which are right extensible by soluble groups ordered by the inclusion relation. The consideration of the associated lattices gives rise to new Fitting classes and it allows to obtain some injectivity criteria for general Fitting classes.

On $p$ -decomposable groups.

Iranzo, M.J.; Pérez-Monasor, F.; Medina, J. — 2001

Sibirskij Matematicheskij Zhurnal

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