Introduction to group theory
Introduction to group theory

Start this free course now. Just create an account and sign in. Enrol on the course to track your learning.

Learning outcomes

After studying this course, you should be able to:

  • explain what is meant by a symmetry of a plane figure

  • find the composite of two symmetries

  • find the inverse of a symmetry

  • determine whether a given set and binary operation form a group by checking group axioms

  • describe the symmetries of some bounded three-dimensional figures.

Take your learning further

Making the decision to study can be a big step, which is why you'll want a trusted University. The Open University has 50 years’ experience delivering flexible learning and 170,000 students are studying with us right now. Take a look at all Open University courses.

If you are new to University-level study, we offer two introductory routes to our qualifications. You could either choose to start with an Access module, or a module which allows you to count your previous learning towards an Open University qualification. Read our guide on Where to take your learning next for more information.

Not ready for formal University study? Then browse over 1000 free courses on OpenLearn and sign up to our newsletter to hear about new free courses as they are released.

Every year, thousands of students decide to study with The Open University. With over 120 qualifications, we’ve got the right course for you.

Request an Open University prospectus371