On the conjugacy problem for Carter subgroups.
On the embedding of a finite group as Frattini subgroup.
On the intersection of maximal non-supersoluble subgroups in a finite group
Gli autori studiano il sottogruppo intersezione dei sottogruppi massimali e non supersolubili di un gruppo finito e le relazioni tra la struttura di e quella di .
On the maximal subgroups of the finite classical groups.
On the normalizer of a group in the Cayley representation.
On the number of maximal theta pairs in a finite group
On the prefrattini subgroups of finite soluble groups.
On the Structure of 2-Local Subgroups in Finite Groups.
On the Theory of Fitting Classes of Finite Soluble Groups.
Prime Characters and Factorizations of Quasi-Primitive Characters.
Products of finite nilpotent groups.
Projektive Klassen endlicher Gruppen. I. Schunck- und Gaschützklassen.
Properties of subgroups not containing their centralizers
In this paper, we give a generalization of Baer Theorem on the injective property of divisible abelian groups. As consequences of the obtained result we find a sufficient condition for a group to express as semi-direct product of a divisible subgroup and some subgroup . We also apply the main Theorem to the -groups with center of index , for some prime . For these groups we compute the number of conjugacy classes and the number of abelian maximal subgroups and the number of nonabelian...
Relative Relation Modules as Generators for Integral Group Rings of Finite Groups.
Solitary quotients of finite groups
We introduce and study the lattice of normal subgroups of a group G that determine solitary quotients. It is closely connected to the well-known lattice of solitary subgroups of G, see [Kaplan G., Levy D., Solitary subgroups, Comm. Algebra, 2009, 37(6), 1873–1883]. A precise description of this lattice is given for some particular classes of finite groups.
Solubility of Groups Admitting Certain Fixed-Point-Free Automorphism Groups.
Soluble products of connected subgroups.
Some questions on quasinilpotent groups and related classes.
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).
Some results on -solvable and supersolvable groups.
Sottogruppi massimali dei sottogruppi di Sylow e complementi normali
In this Note conditions for the existence of a normal -complement and for the supersolubility of a finite group are given.