论文标题
关于阿贝尔组的图形产品的半完整性的注释
A note on semicompleteness of graph products of abelian groups
论文作者
论文摘要
在此简短说明中，我们证明了有限生成的亚伯群的图形产品$g_γ$是半完美的 - 这是自然同构$ {\ rm aut}（g_γ）（g_γ）\ to {\ rm aut}的内核没有分离的星星。
In this short note we prove that a graph product $G_Γ$ of finitely generated abelian groups is semicomplete -- that is the kernel of the natural homomorphism ${\rm Aut}(G_Γ)\to{\rm Aut}(G_Γ^{ab})$ induced by the abelianization of $G_Γ$ is equal to the inner automorphisms -- if and only if $Γ$ does not have a separating star.
