Symmetries are captured by mathematical groups. And just as you can combine kinds symmetry to form new symmetries, you can…

Continue Reading# finite

## Number of forms of a finite field

The number of elements in a finite field must be a prime power, and for every prime power there is…

Continue Reading## Finite rings

It occurred to me recently that I rarely hear about finite rings. I did a Google Ngram search to make…

Continue Reading## Sum-product theorem for finite fields

A week ago I wrote about using some Python code to play with the sum-product theorem of Erdős and Szemerédi…

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