Ein allgemeiner Sylowsatz in endlichen auflösbaren Gruppen.
Einige Sätze über Deck-Meide-Untergruppen endlicher auflösbarer Gruppen.
Elementary Abelian operator groups.
Endliche Gruppen mit Untergruppen mit paarweise teilerfremden Indizes.
Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics
We present a survey of results on word equations in simple groups, as well as their analogues and generalizations, which were obtained over the past decade using various methods: group-theoretic and coming from algebraic and arithmetic geometry, number theory, dynamical systems and computer algebra. Our focus is on interrelations of these machineries which led to numerous spectacular achievements, including solutions of several long-standing problems.
Erratum to: “Subnormal, permutable, and embedded subgroups in finite groups”
The original version of the article was published in Central European Journal of Mathematics, 2011, 9(4), 915–921, DOI: 10.2478/s11533-011-0029-8. Unfortunately, the original version of this article contains a mistake: Lemma 2.1 (2) is not true. We correct Lemma 2.2 (2) and Theorem 1.1 in our paper where this lemma was used.
Exact covering systems for groups
Existencia de inyectores en grupos finitos respecto de ciertas clases de Fitting.
In this paper we prove that all finite groups have F-injectors with respect to a saturated and extensible Fitting formation F.