On extensions of the maximal cyclotomic field having a given classical Galois group.
On factorisable soluble groups
The intention of this paper is to provide an elementary proof of the following known results: Let G be a finite group of the form G = AB. If A is abelian and B has a nilpotent subgroup of index at most 2, then G is soluble.
On factorizations of finite Abelian groups which admit replacement of a Z-set by a subgroup.
On finite 3-generated 2-groups of Alperin.
On finite commutative IP-loops with elementary abelian inner mapping groups of order
We show that finite commutative inverse property loops with elementary abelian inner mapping groups of order are centrally nilpotent of class at most two.
On finite commutative IP-loops with elementary abelian inner mapping groups of order
We show that finite commutative inverse property loops with elementary abelian inner mapping groups of order are centrally nilpotent of class at most two.
On finite commutative loops which are centrally nilpotent
Let be a finite commutative loop and let the inner mapping group , where is an odd prime number and . We show that is centrally nilpotent of class two.
On Finite Groups Generated by Odd Transpositions. I.
On finite groups isospectral to simple symplectic and orthogonal groups.
On Finite Groups with Given Conjugate Types. III.
On finite groups with independent subgroups.
On finite groups with some conditions on subsets.
On finite groups with some subgroups of prime indices.
On Finite Groups with Sylow 2-Subgroups of Type An, n = 8, 9, 10, 11.
On finite homomorphic images of the multiplicative group of a division algebra.
On finite loops and their inner mapping groups
In this paper we consider finite loops and discuss the following problem: Which groups are (are not) isomorphic to inner mapping groups of loops? We recall some known results on this problem and as a new result we show that direct products of dihedral 2-groups and nontrivial cyclic groups of odd order are not isomorphic to inner mapping groups of finite loops.
On finite loops whose inner mapping groups have small orders
We investigate the situation that the inner mapping group of a loop is of order which is a product of two small prime numbers and we show that then the loop is soluble.
On finite minimal non-p-supersoluble groups
If ℱ is a class of groups, then a minimal non-ℱ-group (a dual minimal non-ℱ-group resp.) is a group which is not in ℱ but any of its proper subgroups (factor groups resp.) is in ℱ. In many problems of classification of groups it is sometimes useful to know structure properties of classes of minimal non-ℱ-groups and dual minimal non-ℱ-groups. In fact, the literature on group theory contains many results directed to classify some of the most remarkable among the aforesaid classes. In particular, V....
On finite soluble groups verifying an extremal condition on subgroups.
We classify the finite soluble groups satisfying the following condition: if H is a subgroup of G and H is not nilpotent, then the Fitting subgroup of H is the centralizer in H of its derived subgroup H'.
On Frobenius groups containing an element of order 3.