Computational group theory
In mathematics, computational group theory is the study of
groups by means of computers. It is concerned
with designing and analysing algorithms and
data structures to compute information about groups. The subject
has attracted interest because for many interesting groups
it is impractical
to perform calculations by hand.
Important algorithms in computational group theory include:
Two important computer algebra systems used for group theory are
GAP and Magma. Historically, other systems such as CAS and Cayley were important.
Some achievements of the field include:
