In this BSc thesis we consider the concept of solvable groups. It turns out that this concept is one of the most important ones in group theory, since these groups in a sense correspond to groups that can be constructed from cyclic groups of prime order. Before introducing the concept of solvable groups we make a short review of some notions and results in group theory. We then define the concept of (sub)normal series and illustrate it with a few examples. We also define the concepts of composition series and commutator series. We then finally introduce the concept of solvable groups. We present a criterion of when a finite group is solvable. We give examples of solvable and nonsolvable groups and present some other results related to t...
Let G be a finite group. Denote by psi (G) the sum psi(G) =Sigma (x is an element of G) |x|, where |...
AbstractWe show that if G is a finite group then no chain of modular elements in its subgroup lattic...
summary:Let $m>1$ be a fixed positive integer. In this paper, we consider finite groups each of whos...
The study of groups arose from the theory equations; more specifically form the attempt to find root...
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
This paper is devoted to introduce a sufficient condition for the solvability of finite groups. Also...
Some properties related to solvable groups are investigated together with the solvability of symmetr...
In this paper, rye study the problem concerning the influence of the structure of the solvable subgr...
In the present paper we give a short survey about solvable rings. Besides the classical results stat...
Abstract The dissertation consists of three articles in which the solvability of groups and the solv...
AbstractIn this note, we first give some examples to show that some hypotheses of some well-known re...
We give two new characterizations of finite solvable groups all of whose subnormal subgroups are nor...
The purpose of this survey is to give some picture of what is known about algorithmic and decision p...
In this book Manz and Wolf concentrate on that part of representation theory which relates to solvab...
ABSTRACT. The notion of normal index is utilized in proving necessary and sufficient conditions for ...
Let G be a finite group. Denote by psi (G) the sum psi(G) =Sigma (x is an element of G) |x|, where |...
AbstractWe show that if G is a finite group then no chain of modular elements in its subgroup lattic...
summary:Let $m>1$ be a fixed positive integer. In this paper, we consider finite groups each of whos...
The study of groups arose from the theory equations; more specifically form the attempt to find root...
We prove the following two new criteria for the solvability of finite groups. Theorem 1. Let G be ...
This paper is devoted to introduce a sufficient condition for the solvability of finite groups. Also...
Some properties related to solvable groups are investigated together with the solvability of symmetr...
In this paper, rye study the problem concerning the influence of the structure of the solvable subgr...
In the present paper we give a short survey about solvable rings. Besides the classical results stat...
Abstract The dissertation consists of three articles in which the solvability of groups and the solv...
AbstractIn this note, we first give some examples to show that some hypotheses of some well-known re...
We give two new characterizations of finite solvable groups all of whose subnormal subgroups are nor...
The purpose of this survey is to give some picture of what is known about algorithmic and decision p...
In this book Manz and Wolf concentrate on that part of representation theory which relates to solvab...
ABSTRACT. The notion of normal index is utilized in proving necessary and sufficient conditions for ...
Let G be a finite group. Denote by psi (G) the sum psi(G) =Sigma (x is an element of G) |x|, where |...
AbstractWe show that if G is a finite group then no chain of modular elements in its subgroup lattic...
summary:Let $m>1$ be a fixed positive integer. In this paper, we consider finite groups each of whos...