The cyclic length of an inclusion 
of finite 
-groups is the least number of steps
in a chain
 |
whose successive quotients are cyclic. It depends on the inclusion, not just the isomorphism types of its endpoints. A cyclic quotient
of order 
counts as one step, rather than 
steps. For example, in 
, the subgroups 
and 
both have order 
, but their cyclic lengths are 2 and 1, respectively. Chromatic
fixed-point loss compares this length with a vanishing implication for geometric
fixed points.
