Automorphisms

Some articles on automorphisms:

Steenrod Algebra - Relation To Formal Groups
... These group schemes are closely related to the automorphisms of 1-dimensional additive formal groups ... Steenrod algebra is the group scheme of automorphisms of the 1-dimensional additive formal group scheme x+y that are the identity to first order ... These automorphisms are of the form ...
Homogeneous Space - Formal Definition
... Note that automatically G acts by automorphisms (bijections) on the set ... to some category, then 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 ...
Moduli Of Algebraic Curves - Moduli Stacks of Stable Curves
... no singularities 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 ... the dimension of is dim(space of genus zero curves) - dim(group of automorphisms) = 0 - dim(PGL(2)) = -3 ...
Tomita–Takesaki Theory - KMS States
... A KMS state φ on a von 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 ... to be 1 by rescaling the 1-parameter family of 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 ...