A note on semicompleteness of graph products of abelian groups

被引：0
|
作者：
Moeller, Philip [1 ]
Varghese, Olga [2 ]
机构：
[1] Univ Munster, Dept Math, Munster, Germany
[2] Otto von Guericke Univ, Dept Math, Univ Pl 2, D-39106 Magdeburg, Germany
来源：
COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 03期
关键词：
Graph products of groups; IA-automorphisms; semicomplete groups; AUTOMORPHISM-GROUPS; SUBGROUPS;
D O I：
10.1080/00927872.2022.2115507
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this short note we prove that a graph product Gr of finitely generated abelian groups is semicomplete - that is the kernel of the natural homomor- phism Aut(G(Gamma)) -> Aut(G(Gamma)(ab)) induced by the abelianization of G(Gamma)- is equal to the inner automorphisms - if and only if Gamma does not have a separating star.
引用
收藏
页码：902 / 914
页数：13
相关论文
共 50 条
12345