### 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

... 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

... 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

... 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

... 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 ...Related Subjects

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