Mathematicians define a sequence as a function which maps some subset of the positive integers onto some subset of the real numbers. In simplest terms, a sequence is an ordered list of elements. In this article, we will take these elements to be real...

In mathematics, a finite group is a group which has finitely many elements. Some aspects of the theory of finite groups were investigated in great depth in the twentieth century, in particular the local theory, and the theory of solvable groups and...

Abstract: A subgroup H of a group G is c-subnormal in G if G has a subnormal subgroup T such that HT=G and T 3 H [??] HG. [1] Using this concept, in Jaraden obtain [1] some new conditions for solubility of a...

Abstract A subgroup H of a group G is said to be [s.sup.*]--supplemented subgroups in G if there exists a subgroup K of G such that G = HK and H [intersection] K [less than or equal to] [H.sub.SG], where [H.sub.SG] is the...