Automorphisms

Some articles on automorphisms:

Automorphisms Of The Symmetric And Alternating Groups
... In group theory, a branch of mathematics, the automorphisms and outer automorphisms of the symmetric groups and alternating groups are both standard examples of these automorphisms, and objects of study in their own ...
Steenrod Algebra - Relation To Formal Groups
... These group schemes are closely related to the automorphisms of 1-dimensional additive formal groups ... For example, if p=2 then the dual Steenrod algebra is the group scheme of automorphisms of the 1-dimensional additive formal group scheme x+y that are ... These automorphisms are of the form ...
Tomita–Takesaki Theory - KMS States
... Neumann algebra M with a given 1-parameter group of automorphisms αt is a state fixed by the automorphisms such that for every pair of elements A, B of M there is a bounded continuous ... Moreover this characterizes the modular automorphisms of φ ... above this has been normalized to be 1 by rescaling the 1-parameter family of automorphisms.) ...
Moduli Of Algebraic Curves - Moduli Stacks of Stable Curves
... other than double points, and has only a finite group of automorphisms ... In lower genus, one must account for the presence of smooth families of automorphisms, by subtracting their number ... of genus zero curves) - dim(group of automorphisms) = 0 - dim(PGL(2)) = -3 ...
Homogeneous Space - Formal Definition
... Note that automatically G acts by automorphisms (bijections) on the set ... the elements of G are assumed to act as automorphisms in the same category ... into the group of automorphisms of the object X in the category C ...