How many finite rings are there?

  • Thu 10 Dec 20

    15:00 - 16:00

  • Online

    Zoom ID: 978 6853 5544

  • Event speaker

    Professor Simon Blackburn

  • Event type

    Lectures, talks and seminars

  • Event organiser

    Mathematical Sciences, Department of

  • Contact details

    Jesus Martinez-Garcia

These Departmental Seminars are for everyone in Maths. We encourage anyone interested in the subject in general, or in the particular subject of the seminar, to come along. It's a great opportunity to meet people in the Maths Department and join in with our community.

How many finite rings are there?

For a positive integer n, write f(n) for the number of isomorphism classes of rings of order n. What can we say about f(n)? Determining f(n) exactly for all n looks unrealistic, but in 1970 Kruse and Price (J LMS) stated an asymptotic result that gives the growth rate of f(n) as n goes to infinity.  Sadly, there are problems with their proof.

Professor Blackburn will talk about recent joint work with K. Robin McLean (University of Liverpool) in which they fix the problems, and improve the error terms, of the Kruse--Price result. No knowledge of ring theory above a first undergraduate course will be assumed!


Prof Simon Blackburn, Royal Holloway, University of London

How to attend 

If not a member of the Dept. Mathematical Science at the University of Essex, you can register your interest in attending the seminar and request the Zoom’s meeting password by emailing Dr Jesus Martinez-Garcia

Related events