In the caseG can be decomposed into a product of a normal subgroup N and a subgroup H,we define the group of conglutinate automorphisms Aut(G;N,H), the group of relative automorphisms Aut(G; N|H) and the group of relative outer automorphismsOut(C; N, H).

An analysis of sub-simple properties of automorphism groups by a computer;

The orders of automorphism groups of some families p-groups;

Holomorphic vectors and holomorphic automorphism groups of a sort of three-dimensional Hopf manifold;

In this paper,The order of automorphism groups of metacyclic inner abelian p-groups are determined when p≠2,and the structure of automorphism groups are also given.

In this paper, we determine explicitly the automorphism of filirom Lie algebra W6, the solvable Lie algebra with nilradical W6, and prove that this solvable Lie algebra has no nontrivial (non-constant) invariant.

A finite p-group G is called LA-group, if the order of G divides the order of the automorphism group of G.

Abstract:Let G be a soluble block-transitive automorphism group of 2-(56,7,1) design D.

Meanwhile,the formula about number of order on the group of automorphisms over finitely generated module over Ring Fq[x] is deduced.

In this paper, it is proved that the set of relative homology groups of I(G)modulo the independence complexes of vertex-deleted subgraphs of G is reconstructible andthe set of relative homology groups of N(G) modulo the neighbourhood complexes of vertexdeleted subgraphs of G is conditionally reconstructible.