On the Genus of a Nilpotent Group with Finite Commutator Subgroup.
On the group of automorphisms of finite wreath products
On the Isomorphism of Group Algebras.
On the isomorphism problem for modular group algebras of elementary abelian-by-cyclic p-groups
Let G be a finite p-group and let F be the field of p elements. It is shown that if G is elementary abelian-by-cyclic then the isomorphism type of G is determined by FG.
On the Loewy-series of the modular group algebra of a finite p-group.
On the number of solutions of equation in a finite group
Theorem A yields the condition under which the number of solutions of equation in a finite -group is divisible by (here is a fixed positive integer). Theorem B which is due to Avinoam Mann generalizes the counting part of the Sylow Theorem. We show in Theorems C and D that congruences for the number of cyclic subgroups of order which are true for abelian groups hold for more general finite groups (for example for groups with abelian Sylow -subgroups).
On the -length of the product of two Shmidt groups.
On the rarity of quasinormal subgroups
On the regular Sylow -subgroups of Chevalley groups over .
On the Splitting of Extensions by a Group of Prime Order.
On the structure of finite loop capable nilpotent groups
In this paper we consider finite loops and discuss the problem which nilpotent groups are isomorphic to the inner mapping group of a loop. We recall some earlier results and by using connected transversals we transform the problem into a group theoretical one. We will get some new answers as we show that a nilpotent group having either , as the Sylow -subgroup for some odd prime or the group of quaternions as the Sylow -subgroup may not be loop capable.
On the total number of principal series of a finite abelian group.
OnCSQ-normal subgroups of finite groups
We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups. As an application of our results, some recent results are generalized.