Classification of finite groups of order ≤ 200 in terms of solvability

By: Ali Sager

Department of Mathematics - Faculty of Science - University of Tripoli

Issue: Vol 20 |First Issue | 2014

article language: English

Abstract:

The study of solvable groups has been, and continues to be, the most significant area of work in group theory. Our aim in this work is to classify groups of orderup to 200 in terms of solvability. Our starting point of this classification is to prove that any group with fewer than 60 elements is solvable. Finally, we will show that any group of order up to 200 and not 60, 120, 168, 180 is solvable.