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Groups: the basics
Group theory is the mathematics of symmetry and structure. On this page, find out what a group is and how to think about them.
Group theory is the mathematics of symmetry and structure. On this page, find out what a group is and how to think about them.
Find out how a story starting with the simple notion of counting ends in a revolutionary new way of doing maths that uses computers to harness the power of human collaboration!
Artificial intelligence is changing all our lives - even the lives of mathematicians! Yang-Hui He tells us about his exciting new conjecture, developed with the help of AI, that reveals patterns in the prime numbers that look like flocks of birds.
We're helping the Government Office for Science to bring you an Olympic challenge for National Numeracy Day!
Find out about this important new technology and be part of the conversation.
If a shape has equal sides and all 90 degree angles then it's a square, right? Well, wrong! Find out how to draw right-angled triangles and even pentagons in this short article.
The beautiful rose curve has an odd pattern to the number of its petals – this student and teacher team explain why...
Meet the number that's bigger than the observable Universe!
Are they safe? Are they effective? Will they stop the pandemic? Find out with our FAQ informed by experts.
The golden ratio has many amazing properties. But is it really a secret of nature and the epitome of beauty?
Groups have become a core part of the language of modern mathematics and theoretical physics. On this page, find out how groups can help describe roots of polynomials, holes on a surface, and even the laws of physics!
Learn how lengths, areas, and volumes generalise to the concept of measure, and how this relates to integration and probability.
As we head get ready for our summer holidays, we share our mathematical highlights from recent events in Spain and the UK and our recommendations for summer reading and listening!
Find out what it means for a shape to have fractional dimension.
Our behaviour impacts not just our daily lives. But how do you mathematically describe the messiness of human behaviour?
How many different surfaces are there? The question seems impossible to answer but mathematicians are good at dealing with multitudes. Follow us into the world of moduli spaces!
With bird flu spreading through cattle herds in the US and infecting humans, the diseases poses a severe threat to wild life, poultry and also people. What can mathematical modelling do to help?
What exactly do we mean when we say group theory is the study of symmetry? Group actions make precise what it means for a group to act by symmetries on an object.