Some Applications Of Group Theory

Abstract

In this paper we will give some applications of group theory. The first application makes use of the observation that computing in Z can be replaced by computing in Zn, if n is suficiently large. Zn can be decomposed into a direct product of groups with prime power order, so we can do the computations in parallel in the smaller components. Group theory have interesting applications in the design of computer software, they result in computing techniques which speed up calculations considerably, one such example is bringing in this paper. Group theory is the maintool to study symmetries, revolution and many geometric transactions, this will be presented in this article and furthermore we will show intersting applications ofgroup theory in chemistry.