On a problem of A.D. Sands.
On a problem of the theory of multiply local formations.
On a question of Chambers and Makan.
On a Theorem of Burnside.
On a theorem of Frobenius.
On a theorem of Frobenius.
On a Theorem of Thompson Concerning a Class of Non-Solvable Groups.
On a variation of Sands' method.
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 Alperin's fusion theorem.
On automorphism groups of finite -groups
On Bialostocki's conjecture for zero-sum sequences
On B-injectors of symmetric groups Sₙ and alternating groups Aₙ: a new approach
The aim of this paper is to introduce the notion of BG-injectors of finite groups and invoke this notion to determine the B-injectors of Sₙ and Aₙ and to prove that they are conjugate. This paper provides a new, more straightforward and constructive proof of a result of Bialostocki which determines the B-injectors of the symmetric and alternating groups.
On Camina group and its generalizations
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 centralizers of involutions having a component of type and
On Certain Classes of rigid groups
On certain subsocles of a primary abelian group
On characters of coprime operator groups and the Glaubermann character correspondence.
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.