British Universities Film & Video Council

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Cayley’s Theorem

Synopsis
Models and computer animations are used to explore permutations arising from symmetries of the double tetrahedron. For example, each symmetry permutes the five vertices. At the same time, it permutes the six faces; also the nine edges. So, in the symmetry group of this object, permutations arise naturally. The programme goes on to prove Cayley’s theorem: that every finite group is isomorphic to a permutation group.
Series
Introduction to Pure Mathematics, Course M203
Language
English
Country
Great Britain
Medium
Video; Videocassette. Standard formats. col. 24 min.
Year of production
1989
Availability
Sale; 1999 sale: £145.00 (+VAT +p&p)
Subjects
Mathematics
Keywords
algebra; Cayley’s theorem; group theory; pure mathematics; symmetry groups

Credits

Producer
Jack Koumi

Production Company

Name

BBC Open University Productions

Distributor

Name

Open University Worldwide

Web
http://www.ouw.co.uk External site opens in new window
Phone
+44 (0) 1908 274066
Address
Walton Hall
Milton Keynes
MK7 6AA
Notes
NB. As of May 2016 Open University Worldwide are no longer distributing DVDs. They have posted this message on their website: ‘Unfortunately Open University Worldwide Limited has decided that product sales are no longer viable given the reduced funding to Higher Education institutions and diminishing demand for the products we have traditionally stocked. At present the Open University Students Association (OUSA) will continue to sell the "Good Study Guide", and we are in discussion with other possible distributors to continue to make The Open University’s products available for purchase. As soon as we have any information on other channels of distribution we will update this notice’. Some products are still available via second hand dealers on Amazon.co.uk

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