On classy groups of small order

Abstract

Finite group theory is one of the most delightful areas in mathematics. The ideal aim of finite group theory is to find all finite groups up to isomorphism. In this paper, we reconsider the classification of groups of order less than or equal to 17 by using the presentation techniques of each group with the help of Lagrange’s Theorem.

Keywords: Finite groups, Maximal order element, Isomorphism, Generator, Cyclic group, Group presentation