A cycle of a finite group 
is a minimal set of elements 
such that 
, where 
is the identity element.
A diagram of a group showing every cycle in the group is known as a cycle
graph (Shanks 1993, p. 83).
For example, the modulo multiplication group 
(i.e., the group of residue classes relatively prime to 5 under multiplication mod
5) has elements 
and cycles 
,
, 
, and 
. The corresponding cycle graph
is illustrated above.
