Injektoren endlicher auflösbarer Gruppen.
Intersecting maximals
Given a class of finite groups and a finite group , the authors study the subgroup intersection of maximal subgroups that do not belong to .
Intersections of normally contained fitting classes
Kriterien für die Zugehörigkeit von Elementen zu Ow G.
Landau's theorem for p-blocks of p-solvable groups.
Large normal nilpotent subgroups of finite groups.
Lattices of partially local Fitting classes.
Lineare p-auflösbare Gruppen.
Local classes and pairwise mutually permutable products of finite groups.
Lokale Formationen endlicher Gruppen.
Los retículos de las clases de Schunck normales y de las clases derivadas.
All groups to be considered are finite. The main result of this paper is the following: the normal Schunck classes compose a complete and distributive lattice antiisomorphic to the lattice composed by the Derived classes (s. [5]). It begins with a first section of machinery which establishes that the Derived classes are precisely the classes of groups G such that every simple section of G appartains to a σ-closed class (s. 1.6) of simple groups; therefore the Derived classes are a natural generalization...
-blocks of solvable groups.
Maximal subclasses of local Fitting classes.
Maximal subgroups and PST-groups
A subgroup H of a group G is said to permute with a subgroup K of G if HK is a subgroup of G. H is said to be permutable (resp. S-permutable) if it permutes with all the subgroups (resp. Sylow subgroups) of G. Finite groups in which permutability (resp. S-permutability) is a transitive relation are called PT-groups (resp. PST-groups). PT-, PST- and T-groups, or groups in which normality is transitive, have been extensively studied and characterised. Kaplan [Kaplan G., On T-groups, supersolvable...
Maximal subgroups of finite groups.
Metrische G-Moduln über Körpern der Charakteristik 2.
M-Groups and the Supersolvable Residual.
Minimal formations of universal algebras
A class ℱ of universal algebras is called a formation if the following conditions are satisfied: 1) Any homomorphic image of A ∈ ℱ is in ℱ; 2) If α₁, α₂ are congruences on A and , i = 1,2, then A/(α₁∩α₂) ∈ ℱ. We prove that any formation generated by a simple algebra with permutable congruences is minimal, and hence any formation containing a simple algebra, with permutable congruences, contains a minimum subformation. This result gives a partial answer to an open problem of Shemetkov and Skiba...
Modular Frobenius Groups.
Modules over Group Algebras and Their Application in the Study of Semi -Simplicity.