= Cycle notation
{wiki}
A concise to describe a specific <permutation>.
A permutation group can then be described in terms of the <generating set of a group> of specific elements given in cycle notation.
E.g. https://en.wikipedia.org/w/index.php?title=Mathieu_group&oldid=1034060469\#Permutation_groups mentions that the <Mathieu group M_11> is generated by three elements:
* (0123456789a)
* (0b)(1a)(25)(37)(48)(69)
* (26a7)(3945)
which feels quite compact for a <simple group> with 95040 elements, doesn't it!