Note on the -nilpotency in finite groups.
On 2-Groups with no Abelian Subgroups of Rank Four.
On a certain class of 2-local subgroups in finite simple groups
On automorphism groups of finite -groups
On central nilpotency in finite loops with nilpotent inner mapping groups
In this paper we consider finite loops whose inner mapping groups are nilpotent. We first consider the case where the inner mapping group of a loop is the direct product of a dihedral group of order and an abelian group. Our second result deals with the case where is a -loop and is a nilpotent group whose nonabelian Sylow subgroups satisfy a special condition. In both cases it turns out that is centrally nilpotent.
On Certain Classes of rigid groups
On certain subsocles of a primary abelian group
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 D. I. Moldavanskij's question on -separable subgroups of a free group.
On Dye's condition in nilpotent groups of class 2
On Engel-like congruences
On E-S-supplemented subgroups of finite groups
The major aim of the present paper is to strengthen a nice result of Shemetkov and Skiba which gives some conditions under which every non-Frattini G-chief factor of a normal subgroup E of a finite group G is cyclic. As applications, some recent known results are generalized and unified.
On exact power margin groups
On Exceptions in the Brauer-Kuroda Relations
Let F be a Galois extension of a number field k with the Galois group G. The Brauer-Kuroda theorem gives an expression of the Dedekind zeta function of the field F as a product of zeta functions of some of its subfields containing k, provided the group G is not exceptional. In this paper, we investigate the exceptional groups. In particular, we determine all nilpotent exceptional groups, and give a sufficient condition for a group to be exceptional. We give many examples of nonnilpotent solvable...
On existing of filtered multiplicative bases in group algebras.
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 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 Geometric Embedding Problems and Semiabelian Groups.
On groups admitting a group of automorphisms whose centralizer has bounded rank.