Moduln und verschränkte Homomorphismen endlicher Gruppen.
More metanilpotent Fitting classes with bounded chief factor ranks
More Normal Fitting Classes of Finite Solvable Groups.
Mycielski-Sierpiński conjecture and Korec-Znám result
Nielsen Equivalence of Presentations of Some Solvable Groups.
Nilpotent Fixed Point Free Automorhism Group of Solvable Groups.
Normal Fitting Classes and the Lockett Ordering.
Normal Fitting Pairs and Lockett's Conjecture.
Nota sobre el subgrupo de Deskins de un grupo finito.
On - and -decomposable finite groups
On a class of finite solvable groups
A finite solvable group G is called an X-group if the subnormal subgroups of G permute with all the system normalizers of G. It is our purpose here to determine some of the properties of X-groups. Subgroups and quotient groups of X-groups are X-groups. Let M and N be normal subgroups of a group G of relatively prime order. If G/M and G/N are X-groups, then G is also an X-group. Let the nilpotent residual L of G be abelian. Then G is an X-group if and only if G acts by conjugation on L as a group...
On a class of groups with Lagrangian factor groups.
On a definition for formations
By constructing appropriate faithful simple modules for the group GL(2,3), the author shows that certain "local" definitions for formations are not equivalent.
On a generalization of a theorem of Burnside
A theorem of Burnside asserts that a finite group is -nilpotent if for some prime a Sylow -subgroup of lies in the center of its normalizer. In this paper, let be a finite group and the smallest prime divisor of , the order of . Let . As a generalization of Burnside’s theorem, it is shown that if every non-cyclic -subgroup of is self-normalizing or normal in then is solvable. In particular, if , where for and for , then is -nilpotent or -closed.
On a problem of the theory of multiply local formations.
On a question of Chambers and Makan.
On a theorem of Frobenius.
On abelian inner mapping groups of finite loops
In this paper we consider finite loops of specific order and we show that certain abelian groups are not isomorphic to inner mapping groups of these loops. By using our results we are able to construct a finite solvable group of order 120 which is not isomorphic to the multiplication group of a finite loop.
On complemented subgroups of finite groups
A subgroup of a group is said to be complemented in if there exists a subgroup of such that and . In this paper we determine the structure of finite groups with some complemented primary subgroups, and obtain some new results about -nilpotent groups.
On cover-avoiding subgroups of Sylow subgroups of finite groups