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 the concept of solvable groups.
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