group of automorphisms

1

Let G be a finite group of automorphisms of a ring R. If R is local , then the fixed subring R ~ G is local .

设G是环R的自同构有限群，若R是局部环，则不动子环R~G也是局部环。
2

Generalizing a single involutive automorphism to a finite Abelian group of automorphisms of G , we obtain a homogeneous space called generalized symmetric space and some of its properties .

本文把李群的单个对合自同构推广为由李群G的一些自同构组成的有限可换群，从而决定了一个广义对称空间，并讨论了它的某些性质。
3

In this paper we research mainly on the fundamental homomorphism theorem applied to direct products of groups and group of inner automorphisms of a group G.

群的基本同态定理是群论研究中最常见、最有价值的结论之一。