绝对中心特征单群(英文)

Absolute Central Characteristically Simple Groups

设G是群,Autl(G)是群G的绝对中心自同构群.G的子群H称为绝对中心特征子群,如果Hα=H,α∈Autl(G).群G称为绝对中心特征单群,如果它不含有非平凡的绝对中心特征子群.通过研究Autl(G)对有限群结构的影响,刻画了绝对中心特征单群的结构.

Let G be a group and let Autl （G） be the group of absolute central automorphisms of G.A subgroup H of a group G is absolute central characteristic if Hα=H for all α（？）Autl （G）.A group G is absolute central characteristically simple group if it has no non-trivial absolute central characteristic subgroup.In this paper we characterize absolute cen-tral characteristically simple group.