Abstract for Group Analyzer Group Analyzer is a program for students and instructors of elementary group theory. It enables its users to perform various finite group computations in a calculator-like manner with groups of order up to 400. Te manner with groups of order up to 400. They can examine subgroups and quotient groups, and in general experiment with the group. For students, the goal of such calculations, performed in many different groups, is to get a better grasp of the basic concepts.
Students work, typically, with two types of finite examples.
One type involves very small order groups in which explicit calculations are easy for beginners. A second type, requiring familiarity with the basics and some experiistics are found using theorems and ad hoc mathematical reasoning. With this type of example, one would almost certainly not want to hand-calculate lists of elements such as cosets, the set of commutators, etc. One purpose of Group Analyzer is to make feasible another approach to finite examples. Thus the software serves as an adjunct to indirect reasoning.