Stability automorphism of subnormal series
This article defines a term that has been used or referenced in a journal article or standard publication, but may not be generally accepted by the mathematical community as a standard term.[SHOW MORE]
The stability automorphisms of any fixed subnormal series form a group, called the stability group of that subnormal series. This group lives as a subgroup of the automorphism group.
Definition with symbols
if for any , or equivalently, acts as identity on .
(An analogous definition can be given for subnormal series indexed by infinite sets).