Automorphisms of a partially commutative metabelian group whose defining graph contains no cycles are studied. It is proved that an IA-automorphism of such a group is identical if it fixes all hanging and isolated vertices of the graph. The concepts of a factor automorphism and of a matrix automorphism are introduced. It is stated that every factor automorphism is represented as the product of an automorphism of the defining graph and a matrix automorphism.

中文翻译：

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部分交换Metabelian群的自同构

研究了定义图不包含环的部分可交换元贝尔群的自同构。证明了这样一个群的 IA-自同构是相同的，如果它固定了图的所有悬挂和孤立的顶点。引入了因子自同构和矩阵自同构的概念。指出每个因子自同构都表示为定义图的自同构和矩阵自同构的乘积。